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- Geometric Measure Theory in non Euclidean spaces (Luigi Ambrosio) > papers
- Quasistatic and Dynamic Evolution Problems in Plasticity and Fracture (Gianni Dal Maso)
- Analytic Techniques for Geometric and Functional Inequalities (Nicola Fusco)
- Analysis of Optimal Sets and Optimal Constants: Old Questions and New Results (Aldo Pratelli)
- Mathematics for Shape Memory Technologies in Biomechanics (Ulisse Stefanelli)
- Geometry of Metric Groups (Enrico Le Donne) > papers

- Associate Professor in Mathematical Analysis - University of Trento (deadline: 23 Jul 2018)
- Postdoc position in Analysis and Probability at University of Pisa (deadline: 28 Jul 2018)
- 3-Year Postdoc position TU Chemnitz (Germany) (deadline: 31 Jul 2018)
- Tenure-Track position Departamento de Matemática PUC-RIO (deadline: 31 Aug 2018)

- 24 Jul 2018:
**B. Sharp:***Bubbling analysis for free-boundary minimal hypersurfaces*

- 16 - 27 Jul 2018: Summer school "Mathematical Summer in Paris"
- 19 - 25 Aug 2018: Homogenisation in Disordered Media Department of Mathematical Sciences, Durham University
- 20 - 24 Aug 2018: New trends in the variational modeling of failure phenomena Vienna
- 3 - 6 Sep 2018: Meeting on Applied Mathematics and Calculus of Variations Rome, Sapienza
- 3 - 7 Sep 2018: Advanced School on Theories and Applications of Liquid Crystals Università di Napoli Federico II, Naples
- 10 - 14 Sep 2018: NONLINEAR ANALYSIS AND PDEs Caserta, Italy
- 13 - 15 Sep 2018: FIFTH WORKSHOP ON THIN STRUCTURES Naples
- 14 - 14 Sep 2018: A sub-Riemannian day in Padova Dipartimento di Matematica, Padova
- 19 - 21 Sep 2018: Optimal Control and Mean Field Games Pavia
- 24 - 28 Sep 2018: Workshop MAR: Metric Analysis and Regularity Università di Catania
- 26 - 28 Sep 2018: Mathematics of Thin Structures Dresden, Germany
- 10 - 12 Oct 2018: Topics in Nonlinear Analysis: Calculus of Variations and PDEs Faculdade de Ciências - Universidade de Lisboa
- 11 - 12 Oct 2018: "New Trends in the Regularity Theory of Partial Differential Equations" Math. Dept. of University " Federico II",
- 14 - 20 Oct 2018: Optimal Transport Theory and Hydrodynamics (from Euler to Monge and vice-versa) Oberwolfach
- 29 Oct - 2 Nov 2018: Conference on "PDEs and Geometric Measure Theory"
- 12 - 16 Nov 2018: Optimal Transport and Applications Centro De Giorgi, Pisa

- Q. H. Nguyen (Submitted Paper)

Logarithmic fractional Sobolev inequalities for the Gaussian measure (2018) - Q. H. Nguyen (
*CV PDE*)

Global estimates for quasilinear parabolic equations on Reifenberg flat domains and its applications to Riccati type parabolic equations with distributional data (2015) - M. F. Bidaut-Véron - Q. H. Nguyen (
*Communications in Contemporary Mathematics*)

Evolution equations of $p$-Laplace type with absorption or source terms and measure data (2015) - M. F. Bidaut-Véron - Q. H. Nguyen (
*JOURNAL OF THE EUROPEAN MATHEMATICAL SOCIETY*)

Stability properties for quasilinear parabolic equations with measure data (2015) - M. F. Bidaut-Véron - Q. H. Nguyen (
*Ann. Sc. Norm. Super. Pisa Cl. Sci.*)

Pointwise estimates and existence of solutions of porous medium and p-Laplace evolution equations with absorption and measure data (2016) - Q. H. Nguyen - L. Véron (
*Archive for Rational Mechanics and Analysis*)

Quasilinear and Hessian type equations with exponential reaction and measure data (2014) - M. F. Bidaut-Véron - G. Hoang - Q. H. Nguyen - L. Véron (
*Journal of Functional Analysis*)

An elliptic semilinear equation with source term and boundary measure data: the supercritical case (2015) - Q. H. Nguyen - L. Véron (
*J. Differential Equations*)

Wiener criteria for existence of large solutions of nonlinear parabolic equations with absorption in a non-cylindrical domain (2016) - Q. H. Nguyen - L. Véron (
*Potential Analysis*)

Wiener criteria for existence of large solutions of quasilinear elliptic equations with absorption (2015) - E. Bruè - Q. H. Nguyen - G. Stefani (Submitted Paper)

A maximal function characterization of absolutely continuous measures and Sobolev functions (2018) - L. Ambrozio - R. Buzano - A. Carlotto - B. Sharp (preprint)

Bubbling analysis and geometric convergence results for free boundary minimal surfaces (2018) - cavallotto (Ph.D. Thesis)

Existence and regularity results for minimal sets; Plateau problem (2018) - A. Pinamonti - G. Speight - S. Zimmerman (Submitted Paper)

A $C^m$ Whitney extension theorem for horizontal curves in the Heisenberg group (2018) - D. D. Monticelli - F. Punzo - M. Squassina (Submitted Paper)

Nonexistence for hyperbolic problems on riemannian manifolds (2018) - W. Borrelli - R. Carlone - L. Tentarelli (Submitted Paper)

Nonlinear Dirac Equation On Graphs With Localized Nonlinearities: Bound States And Nonrelativistic Limit (2018) - F. Da Lio - L. Martinazzi - T. Rivière (preprint)

Blow-up analysis of a nonlocal Liouville-type equation (2015) - Luca M. Martinazzi (preprint)

The non-parametric problem of Plateau in arbitrary codimension (2004) - T. Jin - A. Maalaoui - L. Martinazzi - J. Xiong (preprint)

Existence and asymptotics for solutions of a non-local Q-curvature equation in dimension three (2013) - F. De Marchis - A. Malchiodi - L. Martinazzi (preprint)

Critical points of the Moser-Trudinger functional (2011) - L. Martinazzi (preprint)

Conformal metrics on R^{2m} with constant Q-curvature and large volume (2012) - A. Maalaoui - L. Martinazzi - A. Schikorra (preprint)

Blow-up behaviour of a fractional Adams-Moser-Trudinger type inequality in odd dimension (2015) - S. Iula - A. Maalaoui - L. Martinazzi (preprint)

A fractional Moser-Trudinger type inequalitiy in one dimension and its critical points (2015) - F. Da Lio - L. Martinazzi (preprint)

The nonlocal Liouville-type equation in $\mathbb{R}$ and conformal immersions of the disk with boundary singularities (2016) - L. Martinazzi (preprint)

Fractional Adams-Moser-Trudinger type inequalities (2015) - G. Mancini - L. Martinazzi (preprint)

The Moser-Trudinger inequality and its extremals on a disk via energy estimates (2016) - A. Hyder - S. Iula - L. Martinazzi (preprint)

Large blow-up sets for the prescribed Q-curvature equation in the Euclidean space (2016) - A. Hyder - L. Martinazzi (preprint)

Gluing metrics with prescribed $Q$-curvature and different asymptotic behaviour in dimension $6$ (2018) - L. Beck - G. Mingione (preprint)

Optimal Lipschitz criteria and local estimates for non-uniformly elliptic problems (2018) - P. Tilli - D. Zucco (Submitted Paper)

Spectral partitions for Sturm-Liouville problems (2018) - C. De Lellis (Lecture Notes)

Almgren's center manifold in a simple setting (2018) - G. Catino (Submitted Paper)

Rigidity of positively curved shrinking Ricci solitons in dimension four (2018) - F. Riva - L. Nardini (Submitted Paper)

Existence and uniqueness of dynamic evolutions for a one dimensional debonding model with damping (2018) - N. Gigli - E. Pasqualetto (Preprint)

Differential structure associated to axiomatic Sobolev spaces (2018) - E. Durand-Cartagena - J. Gong - J. Á. Jaramillo (Preprint)

Sierpinski-type fractals are differentiably trivial (2018) - F. Maggi - A. Scardicchio - S. Stuvard (Submitted Paper)

Soap films with gravity and almost-minimal surfaces (2018) - Q. H. Nguyen - L. Véron - M. F. Bidaut-Véron (
*Journal de Mathématiques Pures et Appliquées*)

Quasilinear Lane-Emden equations with absorption and measure data (2014) - A. Ponce - D. Spector (Preprint)

A decomposition by non-negative functions in the Sobolev space $W^{k, 1}$ (2018) - R. Alessi - V. Crismale - G. Orlando (preprint)

Fatigue effects in elastic materials with variational damage models: A vanishing viscosity approach (2018) - Q. H. Nguyen - C. P. Nguyen (Submitted Paper)

Good-$\lambda$ and Muckenhoupt-Wheeden type bounds in quasilinear measure datum problems, with applications (2018) - A. Mondino - D. Semola (Preprint)

Polya-Szego inequality and Dirichlet $p$-spectral gap for non-smooth spaces with Ricci curvature bounded below (2018) - E. Bruè - Q. H. Nguyen (Submitted Paper)

On the Sobolev space of functions with derivative of logarithmic order (2018)

- Q. H. Nguyen - P. T. NGUYEN (
*Journal of Nonlinear Science.*)

Onsager's conjecture on the energy convervation for solutions of Euler's equation in bounded domains (2018) - A. Braides - V. Vallocchia (
*Acta Applicandae Mathematicae*)

Static, Quasi-static and Dynamic Analysis for Scaled Perona-Malik Functionals (2018) - F. Ancona - A. Cesaroni - G. M. Coclite - M. Garavello (Submitted Paper)

On the optimization of conservation law models at a junction with inflow and flow distribution controls (2018) - R. Monti - A. Pigati - D. Vittone (Preprint)

On tangent cones to length minimizers in Carnot-Carathéodory spaces (2017) - I. Lucardesi - M. Morandotti - R. Scala - D. Zucco (Submitted Paper)

Confinement of dislocations inside a crystal with a prescribed external strain (2016) - E. Mainini - M. Monteverde - E. Oudet - D. Percivale (
*ESAIM: COCV*)

The minimal resistance problem in a class of non convex bodies (2018) - J. A. Carrillo - F. Hoffmann - E. Mainini - B. Volzone (Accepted Paper:
*Calc. Var. Partial Differential Equations*)

Ground States in the Diffusion-Dominated Regime (2018) - M. Friedrich - E. Mainini - P. Piovano - U. Stefanelli (
*Arch. Ration. Mech. Anal.*)

Characterization of optimal carbon nanotubes under stretching and validation of the Cauchy-Born rule (2018) - E. Paolini - A. Tamagnini (Accepted Paper:
*ESAIM: COCV*)

Minimal clusters of four planar regions with the same area (2018) - L. Martinazzi (
*Math. Z.*)

Classification of solutions to the higher order Liouville's equation on R^{2m} (2009) - L. Martinazzi (
*Rend. Lincei Mat. Appl.*)

Conformal metrics on $\R^{2m}$ with constant Q-curvature (2008) - L. Martinazzi (
*Calc. Var. Partial Differential Equations*)

A threshold phenomenon for embeddings of $H^m_0$ into Orlicz spaces (2009) - L. Martinazzi (
*J. Functional Anal.*)

Concentration-compactness phenomena in the higher order Liouville's equation (2009) - L. Martinazzi - M. Petrache (
*Comm. Partial Differential Equations*)

Asymptotics and quantization for a mean-field equation of higher order (2010) - L. Martinazzi - M. Petrache (Accepted Paper:
*Manuscripta Math.*)

Existence of solutions to a higher dimensional mean-field equation on manifolds (2010) - L. Martinazzi - M. Struwe (Accepted Paper:
*Math. Z.*)

Quantization for an elliptic equation of order 2m with critical exponential non-linearity (2010) - C. Mantegazza - L. Martinazzi (
*Ann. Sc. Norm. Super. Pisa Cl. Sci.*)

A Note on Quasilinear Parabolic Equations on Manifolds (2012) - L. Martinazzi (
*Commun. Contemp. Math.*)

Quantization for the prescribed Q-curvature equation on open domains (2011) - L. Martinazzi (Accepted Paper:
*Journal Funct. Anal.*)

A note on $n$-axially symmetric harmonic maps from $B^3$ to $S^2$ minimizing the relaxed energy (2011) - A. Malchiodi - L. Martinazzi (Accepted Paper:
*J. Eur. Math. Soc. (JEMS)*)

Critical points of the Moser-Trudinger functional on a disk (2012) - A. Hyder - L. Martinazzi (Submitted Paper)

Conformal metrics on $R^{2m}$ with constant Q-curvature, prescribed volume and asymptotic behavior (2014) - C. De Lellis - D. Inauen (
*Comm. Partial Differential Equations*)

Fractional Sobolev regularity for the Brouwer degree (2017) - C. De Lellis - E. Spadaro - L. Spolaor (
*Transactions AMS*)

Regularity theory for $2$-dimensional almost minimal currents I: Lipschitz approximation (2018) - C. De Lellis (Accepted Paper:
*To appear in H. Holden and R. Piene (editors): The Abel Prize 2013–2017. Springer Verlag.*)

The masterpieces of John Forbes Nash Jr. (2016) - C. De Lellis - E. Spadaro - L. Spolaor (
*Comm. Pure Appl. Math.*)

Uniqueness of tangent cones for $2$-dimensional almost minimizing currents (2017) - C. De Lellis - E. Spadaro - L. Spolaor (
*Ann. PDE*)

Regularity theory for $2$-dimensional almost minimal currents II: branched center manifold (2017) - C. De Lellis - F. Ghiraldin - F. Maggi (
*JEMS*)

A direct approach to Plateau's problem (2017) - C. De Lellis - D. Tasnady (
*Jour. Diff. Geom.*)

The existence of embedded minimal hypersurfaces (2013) - C. De Lellis (
*Mat. Soc. Cult. Riv. Unione Mat. Ital. (I)*)

Il teorema di Liouville ovvero perche' ``non esiste'' la primitiva di exp(x^2) (2014) - C. De Lellis (Accepted Paper:
*To appear in the Collections of the CMSA Harvard*)

Allard's interior regularity theorem: an invitation to stationary varifolds (2012) - C. De Lellis - A. Marchese - E. Spadaro - D. Valtorta (Accepted Paper:
*To appear in Comm. Math. Helv.*)

Rectifiability and upper Minkowski bounds for singularities of harmonic $Q$-valued maps (2016) - A. Carlotto - C. De Lellis (Accepted Paper:
*To appear in Jour. Diff. Geom.*)

Min-max embedded geodesic lines on asymptotically conical surfaces (2016) - C. De Lellis - J. Ramic (Accepted Paper:
*To appear in Annales de l'Institut Fourier*)

Min-max theory for minimal hypersurfaces with boundary (2016) - M. Colombo - C. De Lellis - L. De Rosa (Accepted Paper:
*To appear in Comm. Math. Phys.*)

Ill-posedness of Leray solutions for the ipodissipative Navier--Stokes equations (2017) - T. Buckmaster - C. De Lellis - L. J. Székelyhidi - V. Vicol (Accepted Paper:
*To appear in Comm. Pure Appl. Math.*)

Onsager's conjecture for admissible weak solutions (2017) - C. De Lellis - G. De Philippis - J. Hirsch - A. Massaccesi (Accepted Paper:
*To appear in the Matrix Annals*)

Boundary regularity of mass-minimizing integral currents and a question of Almgren (2018) - A. Braides - L. Kreutz (
*Calc. Var. Partial Diff. Equations*)

Design of lattice surface energies (2018) - N. Gigli - E. Pasqualetto (Submitted Paper)

Equivalence of two different notions of tangent bundle on rectifiable metric measure spaces (2016) - G. Lazzaroni - U. Stefanelli (Accepted Paper:
*Transactions of Mathematics and Its Applications*)

Chain-like ground states in three dimensions (2018) - F. Cavalletti - F. Maggi - A. Mondino (Accepted Paper:
*Comm. Pure and Applied Math.*)

Quantitative isoperimetry à la Levy-Gromov (2017) - A. Marchese - S. Stuvard (
*Advances in Calculus of Variations*)

On the structure of flat chains modulo $p$ (2016) - J. Hirsch - S. Stuvard - D. Valtorta (Accepted Paper:
*Transactions of the American Mathematical Society*)

Rectifiability of the singular set of multiple valued energy minimizing harmonic maps (2017) - G. Canevari - A. Majumdar - B. Stroffolini (Preprint)

Minimizers of a Landau-de Gennes Energy with a Subquadratic Elastic Energy (2018)