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Colombo: Non-uniqueness of Leray solutions of the forced Navier-Stokes equations Annals of Mathematics 2021 D. Albritton, E. Bruč, M. Colombo, C. De Lellis, V. Giri, M. Janisch, H. Kwon: Instability and nonuniqueness for the 2d Euler equations in vorticity form, after M. Vishik Annals of Mathematics Studies (Accepted Paper) 2021 R. Alicandro, G. Lazzaroni, M. Palombaro: Derivation of linear elasticity for a general class of atomistic energies SIAM J. Math. Anal. Vol. 53, N. 5, p. 5060-5093, 2021 S. Almi, M. Morandotti, F. Solombrino: A multi-step Lagrangian scheme for spatially inhomogeneous evolutionary games Journal of Evolution Equations p. 34, 2021 S. Almi, E. Tasso: Brittle fracture in linearly elastic plates Proceedings of the Royal Society of Edinburgh 2021 L. Ambrosio, C. Brena: Stability of a class of action functionals depending on convex functions Discrete Contin. Dyn. Syst. 2021 L. Ambrosio, M. Goldman, D. 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Pisa Cl. Sci. (Accepted Paper) 2021 G. Dal Maso, F. Sapio: Quasistatic limit of a dynamic viscoelastic model with memory Milan Journal of Mathematics 2021 M. Dalla Riva, R. Molinarolo, P. Musolino: Existence results for a nonlinear nonautonomus transmission problem via domain perturbation Proceedings of the Royal Society of Edinburgh: Section A Mathematics p. 1-26, 2021 D. Danielli, R. Ognibene: On a weighted two-phase boundary obstacle problem Indiana University Mathematics Journal (Accepted Paper) 2021 A. Davini, H. Ishii, R. Iturriaga, H. Sanchez Morgado: Discrete approximation of the viscous HJ equation Stoch. Partial Differ. Equ. Anal. Comput. Vol. 9, N. 4, p. 10811104, 2021 A. Davini, L. Wang: On the vanishing discount problem from the negative direction Discrete Contin. Dyn. Syst. Vol. 41, N. 5, p. 23772389, 2021 A. Davini, M. Zavidovique: Convergence of the solutions of discounted Hamilton--Jacobi systems Adv. Calc. Var. Vol. 14, N. 2, p. 193206, 2021 E. Davoli, C. Kreisbeck: On static and evolutionary homogenization in crystal plasticity for stratified composites Research in the Mathematics of Materials Science. Springer AWM series (Accepted Paper) 2021 E. Davoli, M. Kruzik, P. Piovano, U. Stefanelli: Magnetoelastic thin films at large strains Continuum Mech. Thermodyn. Vol. 33, p. 327341, 2021 E. Davoli, A. Molchanova, U. Stefanelli: Equilibria of charged hyperelastic solids SIAM J. Math. Anal. (SIMA) (Accepted Paper) 2021 E. Davoli, K. Nik, U. Stefanelli: Existence results for a morphoelastic model ZAMM- Zeitschrift für Angewandte Mathematik und Mechanik (Accepted Paper) 2021 E. Davoli, T. Roubicek, U. Stefanelli: A note about hardening-free viscoelastic models in Maxwellian-type rheologies at large strains Mathematics and Mechanics of Solids (Accepted Paper) 2021 E. Davoli, L. Scarpa, L. Trussardi: Local asymptotics for nonlocal convective Cahn-Hilliard equations with $W^{1,1}$ kernel and singular potential Journal of Differential Equations (Accepted Paper) 2021 Y. De Castro, V. Duval, R. Petit: Towards off-the-grid algorithms for total variation regularized inverse problems Journal of Mathematical Imaging and Vision 2021 C. De Lellis: An Allard-type boundary regularity theorem for 2d minimizing currents at smooth curves with arbitrary multiplicity (Preprint) 2021 C. De Lellis: The regularity theory for the area functional (in geometric measure theory) (Proceedings) 2021 C. De Lellis, J. Hirsch, A. Marchese, L. Spolaor, S. Stuvard: Area minimizing hypersurfaces modulo $p$: a geometric free-boundary problem (Submitted Paper) 2021 C. De Lellis, L. J. Székelyhidi: Weak stablity and closure in turbulence Philosophical Transactions of the Royal Society A (Accepted Paper) 2021 G. B. De Luca, N. De Ponti, A. Mondino, A. Tomasiello: Cheeger bounds on spin-two fields Journal of High Energy Physics 2021 L. De Luca, M. Novaga, M. Ponsiglione: The $0$-fractional perimeter between fractional perimeters and Riesz potentials Ann. Scuola Normale Sup. Pisa Vol. 22, N. 4, p. 1559-1596, 2021 L. De Masi, G. De Philippis: Min-max construction of minimal surfaces with a fixed angle at the boundary (preprint) 2021 N. De Nitti, T. König: Critical functions and blow-up asymptotics for the fractional Brezis--Nirenberg problem in low dimension (Submitted Paper) 2021 G. De Philippis, M. Engelstein, L. Spolaor, B. Velichkov: Rectifiability and almost everywhere uniqueness of the blow-up for the vectorial Bernoulli free boundaries (Preprint) 2021 G. De Philippis, L. Spolaor, B. Velichkov: Regularity of the free boundary for the two-phase Bernoulli problem Inventiones mathematicae 2021 N. De Ponti, S. 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Santambrogio: JKO estimates in linear and non-linear Fokker-Planck equations, and Keller-Segel: $L^p$ and Sobolev bounds Annales de l'Institut Henri Poincaré C, Analyse Non Linéaire (Accepted Paper) 2021 G. Di Matteo, A. Malchiodi: Double Bubbles with High Constant Mean Curvatures in Riemannian Manifolds Nonlin. Anal., to appear. (Accepted Paper) p. 37, 2021 S. Dipierro, F. Onoue, E. Valdinoci: (Dis)connectedness of nonlocal minimal surfaces in a cylinder and a stickiness property Proceedings of the AMS (Accepted Paper) p. 13, 2021 N. Dirr, F. Dragoni, R. Grande: Asymptotics for optimal controls for horizontal mean curvature flow 2021 P. Dondl, M. Novaga, S. Wojtowytsch, S. Wolff-Vorbeck: Connected Coulomb Columns: Analysis and Numerics Nonlinearity Vol. 34, N. 9, p. 6120-6139, 2021 S. Dovetta, E. Marconi, L. V. Spinolo: Initial-boundary value problems for merely bounded nearly incompressible vector fields in one space dimension Journal of Differential Equations (Accepted Paper) 2021 S. Dovetta, E. Marconi, L. V. Spinolo: New regularity results for scalar conservation laws, and applications to a source-destination model for traffic flows on networks SIAM J. of Math. Anal. (Accepted Paper) 2021 L. Esposito, L. Lamberti: Regularity Results for an Optimal Design Problem \dots]{Regularity Results for an Optimal Design Problem with lower order terms (Submitted Paper) 2021 J. Evans, H. Yoldas: On the asymptotic behaviour of a run and tumble equation for bacterial chemotaxis (preprint) 2021 B. Fall, F. Santambrogio, D. Seck: Shape Derivative for Obstacles in Crowd Motion Mathematics in Engineering (Accepted Paper) 2021 F. Farroni, L. Greco, G. Moscariello, G. Zecca: Noncoercive quasilinear elliptic operators with singular lower order terms Calc. Var. and Partial Differential Equations 2021 F. Farroni, L. Greco, G. Moscariello, G. Zecca: Nonlinear evolution problems with singular coefficients in the lower order terms Nonlinear Differ. Equ. Appl. 2021 V. Felli, B. Noris, R. Ognibene: Eigenvalues of the Laplacian with moving mixed boundary conditions: the case of disappearing Dirichlet region Calculus of Variations and Partial Differential Equations 2021 V. Felli, B. Noris, R. Ognibene: Eigenvalues of the Laplacian with moving mixed boundary conditions: the case of disappearing Neumann region Journal of Differential Equations 2021 X. Fernández-Real, R. Tione: Improved regularity of second derivatives for subharmonic functions Proc. of the AMS 2021 A. Figalli, D. Jerison: A sharp Freiman type estimate for semisums in two and three dimensional Euclidean spaces Ann. Sci. Éc. Norm. Supér. 2021 M. Fogagnolo, A. Pinamonti: New integral estimates in substatic Riemannian manifolds and the Alexandrov Theorem J. Math. Pures Appl. (Accepted Paper) 2021 G. Foghem: Nonlocal Gagliardo-Nirenberg-Sobolev type inequality (Accepted Paper) 2021 I. Fonseca, N. Fusco, G. Leoni, M. Morini: Global and local energy minimizers for a nanowire growth model (Submitted Paper) 2021 S. Fornaro, G. Metafune, D. Pallara, R. Schnaubelt: $L^p$-spectrum of degenerate hypoelliptic Ornstein-Uhlenbeck operators J. Funct. Anal. Vol. 280, 2021 R. Frank, T. Koenig, H. Kovarik: Blow-up of solutions of critical elliptic equation in three dimensions (Preprint) 2021 R. Frank, T. Koenig, H. Kovarik: Energy asymptotics in the three-dimensional Brezis--Nirenberg problem Calc. Var. Partial Differential Equations Vol. 60, 2021 G. Franzina: Electromagnetic hypogene co-sesmic sources Part of the book series: Lecture Notes in Mathematics ((LNMCIME,volume 2308)) 2021 G. Franzina: Fractional semilinear eigenvalues (Preprint) 2021 L. Freddi, P. Hornung, M. G. Mora, R. Paroni: Stability of boundary conditions for the Sadowsky functional (Submitted Paper) 2021 M. Friedrich, M. Perugini, F. Solombrino: Lower semicontinuity for functionals defined on piecewise rigid functions and on $GSBD$ Journal of Functional Analysis Vol. 280, N. 7, p. 108929, 2021 I. Ftouhi: Complete systems of inequalities relating the perimeter, the area and the Cheeger constant of planar domains Communications in Contemporary Mathematics (Accepted Paper) 2021 I. Ftouhi: On a Polya's inequality for planar convex sets Comptes Rendus de lAcadémie des Sciences 2021 I. Ftouhi: On the Cheeger inequality for convex sets Journal of Mathematical Analysis and Applications 2021 I. Ftouhi: Where to place a spherical obstacle so as to maximize the first Steklov eigenvalue ? ESAIM Control and Calculus of Variations 2021 I. Ftouhi, A. Henrot: The diagram ( 1 , µ 1 ) Mathematical Reports 2021 I. Ftouhi, J. Lamboley: Blaschke--Santaló diagram for volume, perimeter and first Dirichlet eigenvalue SIAM Journal on Mathematical Analysis 2021 N. Fusco, M. Morini: Total positive curvature and the equality case in the relative isoperimetric inequality outside convex domains (Submitted Paper) 2021 K. Fässler, A. Pinamonti: Loomis-Whitney inequalities in Heisenberg groups Math. Zeit. (Accepted Paper) 2021 M. Gallo: Multiplicity and concentration results for local and fractional NLS equations with critical growth Advances in Differential Equations Vol. 26, N. 9-10, p. 397-424, 2021 W. Gangbo, A. R. Mészáros: Global well-posedness of Master equations for deterministic displacement convex potential mean field games Comm. Pure Appl. Math. (Accepted Paper) 2021 A. Garroni, A. Malusa: Duality arguments for linear elasticity problems with incompatible deformation fields J. Convex Analysis Vol. 28, p. 569-580, 2021 A. Garroni, R. Marziani, R. Scala: Derivation of a line-tension model for dislocations from a nonlinear three-dimensional energy: the case of the quadratic growth SIAM J. Math. Anal. Vol. 53, N. 4, p. 4252-4302, 2021 N. Gavitone, G. Paoli, G. Piscitelli, R. Sannipoli: An isoperimetric inequality for the first Steklov-Dirichlet Laplacian eigenvalue of convex sets with a spherical hole (preprint) 2021 N. Gavitone, G. Piscitelli: A monotonicity result for the first Steklov-Dirichlet Laplacian eigenvalue (preprint) 2021 M. S. Gelli, D. Lui: A note on BV and 1-Sobolev functions on the weighted Euclidean space 2021 M. S. Gelli, F. Prinari: The role of intrinsic distances in the relaxation of $L^\infty$-functionals Nonlinear Analysis 2021 D. Giachetti, F. Oliva, F. Petitta: 1-Laplacian type problems with strongly singular nonlinearities and gradient terms Comm. Contemp. Math (Accepted Paper) 2021 L. Giacomelli, S. Moll, F. Petitta: Nonlinear diffusion in transparent media International Mathematics Research Notices IMRN (Accepted Paper) 2021 P. Gidoni, F. Riva: A vanishing inertia analysis for finite dimensional rate-independent systems with nonautonomous dissipation and an application to soft crawlers Calculus of Variations and Partial Differential Equations Vol. 60, N. 191, 2021 Y. Giga, F. Onoue, K. Takasao: A varifold formulation of mean curvature flow with Dirichlet or dynamic boundary conditions Differential and Integral Equations (Accepted Paper) 2021 N. Gigli, F. Nobili: A differential perspective on Gradient Flows on ${\sf CAT}()$-spaces and applications J. Geom. Anal. 2021 N. Gigli, L. Tamanini: Second order differentiation formula on $RCD^*(K,N)$ spaces J. Eur. Math. Soc. (JEMS) 2021 N. Gigli, I. Y. Violo: Monotonicity formulas for harmonic functions in ${\rm RCD}(0,N)$ spaces The Journal of Geometric Analysis 2021 A. Goffi: Transport equations with nonlocal diffusion and applications to Hamilton-Jacobi equations Journal of Evolution Equations Vol. 21, p. 4261-4317, 2021 M. Goldman, M. Huesmann: A fluctuation result for the displacement in the optimal matching problem Annals of Probability (Accepted Paper) 2021 M. Goldman, B. Merlet, M. Pegon, S. Serfaty: Compactness and structure of zero-states for unoriented Aviles--Giga functionals Journal de l'Institut Mathématiques de Jussieu (Accepted Paper) 2021 D. Golovaty, M. Novack, P. Sternberg: A one-dimensional variational problem for cholesteric liquid crystals with disparate elastic constants Journal of Differential Equations 2021 C. S. Goodrich, G. Scilla, B. Stroffolini: Partial regularity for minimizers of discontinuous quasiconvex integrals with general growth Proc. Roy. Soc. Edinburgh Sect. A Vol. 152, N. 5, p. 1191-1232, 2021 R. Grande: Horizontal mean curvature flow and nonlinear PDEs in sub-Riemannian spaces (Phd Thesis) 2021 G. Grillo, G. Meglioli, F. Punzo: Global existence of solutions and smoothing effects for classes of reaction-diffusion equations on manifolds 2021 G. Grillo, G. Meglioli, F. Punzo: Smoothing effects and infinite time blowup for reaction-diffusion equations: an approach via Sobolev and Poincaré inequalities 2021 S. Guarino Lo Bianco, R. Schiattarella: A BMO-type characterization of higher order Sobolev spaces (Submitted Paper) 2021 M. A. Gunes, A. Mondino: A reverse Hölder inequality for first eigenfunctions of the Dirichlet Laplacian on RCD(K,N) spaces Proc. Amer. Math. Soc. (Accepted Paper) 2021 B. Han: Rigidity of some functional inequalities on ${\rm RCD}$ spaces Journal de Mathématiques Pures et Appliquées 2021 B. Han, E. Milman: Sharp Poincare inequality under Measure Contraction Property Ann. Sc. Norm. Super. Pisa Cl. Sci. 2021 A. Hassannezhad, D. Sher: Nodal count for Dirichlet-to-Neumann operators with potential (preprint) 2021 A. Henrot, I. Lucardesi: Body of constant width with minimal area in a given annulus Journal de l'École polytechnique - Mathématiques (Accepted Paper) 2021 A. Henrot, M. Michetti: A comparison between Neumann and Steklov eigenvalues Journal of Spectral Theory (Accepted Paper) p. 30, 2021 S. Honda, L. Mari, M. Rimoldi, G. Veronelli: Density and non-density of $C^\infty_c \hookrightarrow W^{k,p}$ on complete manifolds with curvature bounds Nonlinear Anal. Vol. 211, N. Paper No. 112429, p. 26, 2021 Y. Hu, A. Jevnikar, W. Xie: Infinitely many solutions for Schrödinger-Newton equations Commun. Contemp. Math. (Accepted Paper) 2021 M. Huesmann, F. Mattesini, F. Otto: There is no stationary cyclically monotone Poisson matching in 2d Probability Theory and Related Fields 2021 K. O. Idu, V. Magnani, F. P. Maiale: Characterizations of $k$-rectifiability in homogenous groups J. Math. Anal. Appl. Vol. 500, N. 2, p. 20, 2021 J. A. Iglesias: Symmetry and scaling limits for matching of implicit surfaces based on thin shell energies ESAIM: Mathematical Modelling and Numerical Analysis 2021 J. A. Iglesias, G. Mercier: Convergence of level sets in total variation denoising through variational curvatures in unbounded domains SIAM Journal on Mathematical Analysis 2021 T. Ikonen, D. Lui, E. Pasqualetto: Pullback of a quasiconformal map between arbitrary metric measure spaces (preprint) 2021 M. Jacobs, I. Kim, A. R. Mészáros: Weak solutions to the Muskat problem with surface tension via optimal transport Arch. Ration. Mech. Anal. 2021 A. Jevnikar, R. Lopez-Soriano, M. Medina, D. Ruiz: Blow-up analysis of conformal metrics of the disk with prescribed Gaussian and geodesic curvatures Anal. PDE (Accepted Paper) 2021 A. Jevnikar, A. Malchiodi, R. Wu: Min-max solutions for super sinh-Gordon equations on compact surfaces J. Diff. Eq. (Accepted Paper) 2021 C. Jimenez: A Zero Sum Differential Game With Correlated Informations on the Initial Position. A case with a continuum of initial positions. Journal of Dynamics and Games (Accepted Paper) 2021 A. Julia, S. Nicolussi Golo, D. Vittone: Nowhere differentiable intrinsic Lipschitz graphs Bull. Lond. Math. Soc. Vol. 53, N. 6, p. 17661775, 2021 V. Julin, M. Morini, M. Ponsiglione, E. Spadaro: The Asymptotics of the Area-Preserving Mean Curvature and the Mullins-Sekerka Flow in Two Dimensions (Preprint) 2021 V. Julin, G. Saracco: Quantitative lower bounds to the Euclidean and the Gaussian Cheeger constants Ann. Fenn. Math. Vol. 46, N. 2, p. 1071--1087, 2021 Y. H. Kim, H. Lavenant, G. Schiebinger, S. Zhang: Towards a mathematical theory of trajectory inference Annals of Applied Probability (Accepted Paper) 2021 D. King, F. Maggi, S. Stuvard: Collapsing and the convex hull property in a soap film capillarity model Ann. Inst. H. Poincaré Anal. Non Linéaire Vol. 38, N. 6, p. 1929-1941, 2021 V. Kivioja, E. Le Donne, S. Nicolussi Golo: Metric equivalences of Heintze groups and applications to classifications in low dimension (preprint) 2021 L. Kreutz, P. Piovano: Microscopic validation of a variational model of epitaxially strained crystalline films SIAM J. Math. Anal. Vol. 53, N. 1, p. 453-490, 2021 S. Kryzhevich, E. Stepanov: Constructive controllability for incompressible vector fields Tchemisova, T.V., Torres, D.F.M., Plakhov, A.Y. (eds) Dynamic Control and Optimization. DCO 2021. Springer Proceedings in Mathematics & Statistics Vol. 407, p. 3-18, 2021 H. Kröner, M. Novaga, P. Pozzi: Anisotropic curvature flow of immersed networks Milan J. Math. Vol. 89, N. 1, p. 147-186, 2021 A. Kubin, M. Ponsiglione: Attractive Riesz potentials acting on hard spheres Nonlinearity 2021 D. Kwon, A. R. Mészáros: Degenerate nonlinear parabolic equations with discontinuous diffusion coefficients J. Lond. Math. Soc. (Accepted Paper) 2021 C. Labourie, A. Lemenant: Regularity improvement for the minimizers of the two-dimensional Griffith energy Atti Accad. Naz. Lincei Cl. Sci. Fis. Mat. Natur. (2023) (Preprint) 2021 T. Laux, J. Lelmi: De Giorgi's inequality for the thresholding scheme with arbitrary mobilities and surface tensions (Preprint) 2021 H. Lavenant, L. Monsaingeon, L. Tamanini, D. Vorotnikov: Convex functions defined on metric spaces are pulled back to subharmonic ones by harmonic maps (Submitted Paper) 2021 E. Le Donne: Lecture notes on sub-Riemannian geometry from the Lie group viewpoint (Lecture Notes) p. 263, 2021 A. Leaci, F. Tomarelli: Bilateral Riemann-Liouville fractional Sobolev spaces Note di Matematica (Accepted Paper) 2021 P. Lewintan: Matrix representation of a cross product and related curl-based dierential operators in all space dimensions Open Mathematics Vol. 19, N. 1, p. 1330-1348, 2021 P. Lewintan, S. Müller, P. Neff: Korn inequalities for incompatible tensor fields in three space dimensions with conformally invariant dislocation energy Calc. Var. Vol. 60, N. 150, 2021 P. Lewintan, P. 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Peng: Factorization for entropy production of the Eikonal equation and regularity (Preprint) 2021 I. Lucardesi, D. Zucco: On Blaschke-Santaló diagrams for the torsional rigidity and the first Dirichlet eigenvalue Annali di Matematica Pura ed Applicata (1923 -) 2021 D. Lui, E. Pasqualetto: Gamma-convergence of Cheeger energies with respect to increasing distances (preprint) 2021 D. Lui, E. Pasqualetto: The metric-valued Lebesgue differentiation theorem in measure spaces and its applications (preprint) 2021 D. Lui, E. Pasqualetto, T. Rajala: Non-Hilbertian tangents to Hilbertian spaces (preprint) 2021 A. Maalaoui, A. Pinamonti, G. Speight: Function Spaces via Fractional Poisson Kernel on Carnot Groups and Applications Journal d'Analyse Mathématique (Accepted Paper) 2021 M. Magliocca, F. Oliva: On some parabolic equations involving superlinear singular gradient terms (preprint) 2021 M. Magnabosco: A Metric Stability Result for the Very Strict CD Condition (preprint) 2021 M. 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Pagliardini: On critical points of the relative fractional perimeter Annales IHP - Analyse Nonlineaire Vol. 38, N. 5, p. 14071428, 2021 A. Malchiodi, M. van den Berg: On some variational problems involving capacity, torsional rigidity, perimeter and measure (Preprint) p. 18, 2021 M. Manfredini, M. Piccinini, S. Polidoro: The Dirichlet problem for a family of totally degenerate differential operators (Submitted Paper) 2021 C. Mantegazza: On $C^2$ umbilical hypersurfaces (Short Note) 2021 C. Mantegazza: Some Elementary Questions in the Calculus of Variations Rend. Semin. Mat. Univ. Padova Vol. 145, p. 107-115, 2021 C. Mantegazza, A. Pluda, M. Pozzetta: A Survey of the Elastic Flow of Curves and Networks Milan J. Math. Vol. 89, N. 1, p. 59-121, 2021 C. Mantegazza, M. Pozzetta: The Lojasiewicz-Simon Inequality for the Elastic Flow Calc. Var. Vol. 60, N. 1, p. Paper n.56, 17 pp., 2021 C. Maor, M. G. Mora: Reference configurations vs. optimal rotations: a derivation of linear elasticity from finite elasticity for all traction forces Journal of Nonlinear Science (Accepted Paper) 2021 A. Marchese, A. Massaccesi, S. Stuvard, R. Tione: A multi-material transport problem with arbitrary marginals Calc. Var. Partial Differential Equations Vol. 60, N. 88, p. 1-49, 2021 A. Marchese, A. Merlo: Characterization of rectifiability via Lusin type approximation Analysis & PDE (Accepted Paper) 2021 E. Marconi: Characterization of minimizers of Aviles-Giga functionals on special domains Arch. Ration. Mech. Anal. (Accepted Paper) 2021 E. Marconi: Differentiability properties of the flow of 2d autonomous vector fields Journal of Differential Equations (Accepted Paper) 2021 P. M. Mariano, D. Mucci: Micro-slip-induced multiplicative plasticity: existence of energy minimizers Arch Rational Mech Anal 2021 C. 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