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Projects
- Concentrations and Fine Properties of PDE-constrained measures (Adolfo Arroyo Rabasa) > papers
- Beyond Regularity In Differential Geometric Evolutions (Paolo Bonicatto)
- SElf ASsembled paTterns: Analysis and Regularity (Sara Daneri)
- Regularity and Singularity of Solutions to Geometric Variational Problems (Guido De Philippis)
- Anisotropic geometric variational problems: existence, regularity and uniqueness (Antonio De Rosa)
- Modern challEnges in Geometric Analysis (Nicola Gigli)
- Singular Structures in the Geometry of Measures: decompositions, rigidity and rectifiability (Andrea Marchese)
- Everything You Always Wanted to Know About the JKO Scheme (Filippo Santambrogio) > papers
- Optimal Transport and Metric Structures for Evolution Problems (Giuseppe Savaré)
- Singularities in Geometric Analysis: Minimal Surfaces and Mean Curvature Flows (Salvatore Stuvard)
- Geometry, Ellipticity and Micro-Structures: A differential inclusions approach (Riccardo Tione)
- Optimal TranspOrt and large Deviations for Deep LEarning theory (Dario Trevisan)
- Variational approach to the regularity of the free boundaries (Bozhidar Velichkov)
Open Positions
- Ph.D. in Mathematics and Modeling - L’Aquila (deadline: 24 Aug 2026)
- 2x ERC PostDoc positions at Pisa (2 + 1 years) "Deep questions at the intersection of PDEs, GMT, Calculus of Variations, and Harmonic Analysis." (deadline: 31 Aug 2026)
- PhD position at ETHZ (deadline: 1 Sep 2026)
- Post-doc (deadline: 2 Sep 2026)
- Tenure Track at the University of Vienna (deadline: 15 Sep 2026)
- Assistant / Associate / Full Professor at Imperial College London (deadline: 20 Sep 2026)
- Full Professorship in Mathematics (W3) Bridging the Gaps Chair (deadline: 30 Sep 2026)
- Associate Professorships in Mathematics (W2) - 5 years (deadline: 30 Sep 2026)
- Expression of Interest: Prospective PhD Position in Discrete Structures in Fluid Dynamics (deadline: 30 Sep 2026)
- Expression of Interest: PhD Position in Geometric Analysis and Nonlinear PDEs at Universitat de València (deadline: 30 Sep 2026)
Forthcoming Events
- 17 - 21 Aug 2026: Spectral Geometry and its Relations to Minimal Surfaces University of Copenhagen (Denmark)
- 19 - 21 Aug 2026: Black Swan Academy of Mathematics Conference on Geometric Analysis and PDEs Perth, Australia
- 23 Aug - 4 Sep 2026: XI Partial Differential Equations, Optimal Design and Numerics Centro de Ciencias de Benasque Pedro Pascual
- 24 - 28 Aug 2026: BIGW VII: Geometric Variational Problems Devon, United Kingdom
- 31 Aug - 3 Sep 2026: Late Summer Conference in Geometric Analysis Università di Padova
- 31 Aug - 4 Sep 2026: 2026 International School on Inverse Problems in Geophysics on the shore of the Lario Lake (extended application deadline) Como, Italy
- 31 Aug - 4 Sep 2026: A New Generation of Geometric Singular Perturbation Theory CIRM (Trento)
- 2 - 4 Sep 2026: ASK 2026 Conference in Geometric Analysis and PDEs University of Bologna, math's department
- 7 - 11 Sep 2026: On the Bridge: Geometric Measure Theory and Calculus of Variations Università di Trento
- 7 - 11 Sep 2026: The Bremen town Mathematicians in Convexity Bremen
- 7 - 8 Sep 2026: (MGT)^2: Milano-Grenoble-Torino Meeting in Geometry and Topology Politecnico di Torino, Torino, Italy
- 7 - 11 Sep 2026: International Conference on Free Boundary Problems - FBP2026 Berlin, Germany
- 8 - 10 Sep 2026: Young Researchers Meeting on PDEs III Università degli studi di Milano-Bicocca
- 10 - 12 Sep 2026: Seventh Workshop on Thin Structures
- 10 - 12 Sep 2026: Nonlinear PDEs: Variational Methods, Regularity and Control Sala Bottiglieri – Province of Salerno - Via Roma, 104, 84121 Salerno (Italy)
- 13 - 25 Sep 2026: Cortona Summer School on "Geometric Flows and Łojasiewicz Inequalities" Cortona
- 14 - 18 Sep 2026: Workshop on Geometric Analysis and Spectral Theory - A Mediterranean Gathering in Cagliari Cagliari
- 14 - 18 Sep 2026: Summer school on Analytic and Geometric Aspects of Evolutionary PDEs GSSI, L'Aquila, Italy
- 14 - 17 Sep 2026: Nonlocality in image denoising and other variational problems Pavia, Italy
- 15 - 18 Sep 2026: New Insights: Calculus of variations, Optimization and Long-range Applications. Napoli
- 18 - 20 Sep 2026: 17th Panhellenic Geometry Conference University of Patras
- 21 - 25 Sep 2026: Curvature, Optimal Transport, and Gravity Faculty of Mathematics - University of Vienna
- 28 Sep - 27 Nov 2026: Doc-Course on "PDEs: Theoretical and Numerical Analysis and Control" Seville
- 29 Sep - 2 Oct 2026: Dynamics, Stability and Qualitative Properties in Nonlinear PDEs Maratea
- 30 Sep - 2 Oct 2026: Shapes, Materials and Regularity: Lecce Encounters In Calculus Of Variations - SMR:LEICOV Lecce, Università del Salento
- 12 - 14 Oct 2026: Young researchers in Ferrara: between Analysis and Geometry Ferrara, Italy
- 13 - 15 Oct 2026: From Data to Dynamics: PDEs, Machine Learning, and Optimization in Climate Science CIRM, Trento
- 25 Oct - 4 Dec 2026: Intensive Research Program - Analysis of free boundary problems Barcelona
- 4 - 6 Nov 2026: Nonlinear Partial Differential Equations in Salzburg 2026 Salzburg, Austria
- 6 - 6 Nov 2026: Recent advances on transport-diffusion PDEs and their applications University of Firenze
- 22 - 27 Nov 2026: Oberwolfach Seminar: Mathematical Developments in Magnetohydrodynamics and Dynamo Theory Oberwolfach MFO
- 23 - 27 Nov 2026: Optimal Transportation and Applications CRM De Giorgi Pisa
- 23 - 27 Nov 2026: Structural and Geometry Features of PDE & Systems Będlewo
- 27 - 27 Nov 2026: An autumn day in Calculus of Variations & Applications DIMAI, Florence
- 30 Nov - 3 Dec 2026: Tenerife Nonlocal PDE Days Universidad de La Laguna, Tenerife, Spain
- 1 - 4 Dec 2026: Modern trends in Operator Theory and Geometric Analysis CRM Ennio De Giorgi, Pisa
- 14 - 14 Dec 2026: Bridging Analysis and Geometry Dipartimento di Matematica, Politecnico di Milano
- 4 - 8 Jan 2027: Geometric Analysis Days CIRM, Luminy
- 21 - 22 Jan 2027: Calculus of Variations, Optimization and Image Processing- On the occasion of Antonin Chambolle's 60th birthday
- 1 - 5 Feb 2027: XXXVI Convegno Nazionale di Calcolo delle Variazioni Hotel Mediterraneo, Riccione
- 30 May - 5 Jun 2027: Spring School on Analysis 2027: Function Spaces and Applications XIV Paseky nad Jizerou, Czech Republic
- 7 - 11 Jun 2027: INdAM School - Rome 2027: New Perspectives on Variational and Geometric Problems
Recently Added Papers
- G. Antonelli (Preprint)
Universal volume growth bounds from positive intermediate curvature (2026) - E. Cinti - M. Talluri - T. Weth (preprint)
Existence and non-existence results for a fractional Lane-Emden equation with nonlocal Neumann conditions (2026) - M. Zoppello - H. Shum - M. Morandotti (Proceedings: Modeling, Analysis, and Control of Multi-Agent Systems Across Scales Proceedings of the Workshop Held at the Centro De Giorgi, Pisa, 22-26 January 2024)
Controllability and kinetic limit of spherical particles immersed in a viscous fluid (2026) - A. De Rosa (Accepted Paper: Séminaires et Congrès, Société Mathématique de France)
Lectures on Existence and Regularity of Anisotropic Minimal Surfaces (2026) - P. Cesana - M. Morandotti - A. Sambo (Preprint)
Equilibrium and Interaction Regimes in Mixed Disclination-Dislocation Systems (2026) - N. Briatico - P. Cesana - M. Morandotti (Preprint)
Effective Dynamics of Disclination Pairs (2026) - L. Wang (preprint)
Liouville-type theorems for coupled-drift Monge-Ampère equations (2026) - D. Bartolucci - G. Gu - A. Jevnikar - J. Wei - R. Wu (preprint)
Qualitative bifurcation diagram for Grad-Shafranov type equations (2026) - L. De Luca - G. Pini - M. Ponsiglione - F. Santilli (preprint)
Periodic ground states for a one-parameter family of nonlocal energies on the real line (2026) - A. Lanza - A. Leaci - S. Morigi - F. Tomarelli (Journal of Convex Analysis)
High Order Symmetrised Fractional Variation for Signal and Image Analysis (2026) - S. Verzellesi (Preprint)
Variation formulas for mean curvature functionals (2026) - D. Mucci - R. Scala (Preprint)
Explicit formulas of strict BV relaxed energies for polyconvex functionals with linear growth (2026) - D. Mucci - A. Saracco - C. Sopio (Submitted Paper)
Weak elastic energy of rectifiable curves in Riemannian surfaces (2026) - P. M. Mariano - D. Mucci (Journal of Nonlinear Science)
Variational Analysis of Sharp Folds and Cusps in Shells: A Generalized Functional Setting with Atomic Measures (2026) - J. D. Deuschel - C. Thierbach - B. Zwicknagl (preprint)
A Variational Characterization of a Gibbs Measure related to the Aviles-Giga Functional (2026) - F. Cheng - R. Lasarzik - M. Thomas (preprint)
Energy-variational solutions for geodynamical two-phase flows -- From logarithmic to double-obstacle potentials by variational convergence (2026) - F. Cheng - R. Lasarzik - M. Thomas (Nonlinear Analysis: Real World Applications)
Analysis of a Cahn--Hilliard model for viscoelastoplastic two-phase flows (2027) - A. Braides (In: New Frontiers in Homogenization and Fractional Calculus (Duran i Lamiel, J., Maione, A. eds). Trends in Mathematics. Birkhäuser, Cham.)
Singular-Perturbation Problems in Fractional Sobolev Spaces—Recent Results. (2026) - A. C. G. Mennucci (Rendiconti del Seminario Matematico della Università di Padova)
On geodesics and the cut locus in the oriented Grassmann manifold (2026) - N. Gigli - K. Suzuki - S. Vincini (preprint)
Pyramids and Extended Metric Measure Spaces (2026) - L. Rizzi - M. Sigalotti - N. Tedesco (preprint)
Branching of regular abnormal geodesics in sub-Riemannian manifolds of rank two (2026) - G. Antonelli - G. Frenck - B. Hanke (preprint)
The space of metrics with positive generalized conformal Laplacian (2026) - A. Braides - I. Fonseca (Accepted Paper: Adv. Calc. Var.)
Asymptotic analysis of higher-order perturbations of the Perona–Malik functional (2026) - L. Lussardi - M. Morandotti - F. Stra (Submitted Paper)
Minimizers of one-dimensional regularization problems with linear and nonlinear total variation (2026) - G. Bertazzoni - M. Eleuteri - E. Zappale (Accepted Paper: Annali di Matematica Pura ed Applicata)
Approximation of L^{\infty} functionals with generalized Orlicz norms (2025) - M. Eleuteri - P. Harjulehto - P. Hasto (Accepted Paper: Mathematische Zeitschrift)
Bounded variation spaces with generalized Orlicz growth related to image denoising (2025) - M. Eleuteri - P. Harjulehto - P. Hasto (Accepted Paper: Mathematical Methods in the Applied Sciences)
Minimizers of abstract generalized Orlicz-bounded variation energy (2024) - M. Eleuteri - P. Marcellini - E. Mascolo - S. Perrotta (Accepted Paper: Annali di Matematica Pura ed Applicata)
Local Lipschitz continuity for energy integrals with slow growth (2022) - M. Eleuteri - A. Passarelli di Napoli (Accepted Paper: Nonlinear Analysis, Theory, Methods and Applications)
Regularity results for a class of non-differentiable obstacle problems (2020) - M. Eleuteri - P. Marcellini - E. Mascolo (Accepted Paper: Advances in Calculus of Variations)
Regularity for scalar integrals without structure conditions (2020) - M. Eleuteri - P. Marcellini - E. Mascolo (Accepted Paper: Discrete and Continuous Dynamical Systems - Series S)
Local lipschitz continuity of minimizers with mild assumptions on the x-dependence (2019) - M. Eleuteri - A. Passarelli di Napoli (Accepted Paper: Calculus of Variations and Partial Differential Equations)
Higher differentiability for solutions to a class of obstacle problems (2018) - M. Eleuteri - P. Marcellini - E. Mascolo (Accepted Paper: Annali di Matematica Pura ed Applicata)
Lipschitz estimates for systems with ellipticity conditions at infinity (2016) - M. Eleuteri - P. Marcellini - E. Mascolo (Accepted Paper: Atti della Accademia Nazionale dei Lincei, Classe di Scienze Fisiche, Matematiche e Naturali, Rendiconti Lincei Matematica e Applicazioni)
Lipschitz continuity for energy integrals with variable exponents (2016) - M. Eleuteri - A. Passarelli di Napoli (Accepted Paper: Annales Fennici Mathematici)
On the validity of variational inequalities for obstacle problems with non-standard growth (2022) - M. Eleuteri - S. Perrotta - G. Treu (Accepted Paper: Nonlinear Analysis: Real World Applications)
Local Lipschitz continuity for energy integrals with slow growth and lower order terms (2025) - M. Eleuteri - A. Passarelli di Napoli (Accepted Paper: Nonlinear Analysis: Real World Applications)
Lipschitz regularity of minimizers of variational integrals with variable exponents (2023) - M. Eleuteri - A. Passarelli di Napoli (Accepted Paper: Potential Analysis)
Lipschitz regularity for a priori bounded minimizers of integral functionals with nonstandard growth (2025) - G. De Philippis - L. Franchi (preprint)
Osgood meets Ambrosio-DiPerna-Lions (2026)
Recently Modified Papers
- A. Jevnikar - S. H. Moon (Accepted Paper: J. Math. Phys.)
Existence results for a non-relativistic Chern-Simons model with purely mutual interaction (2026) - M. Caponi (In: Duran i Lamiel, J., Maione, A. (eds) New Frontiers in Homogenization and Fractional Calculus. Trends in Mathematics. Birkhäuser, Cham)
A Survey on the Div-Curl Lemma and Some Extensions to Fractional Sobolev Spaces (2026) - A. Carbotti (Submitted Paper)
A Brunn-Minkowski inequality for Schrödinger operators with Kato class potentials (2026) - G. Palatucci (Submitted Paper)
Capacitary screening for global fractional energies in periodically perforated media (2026) - A. Carbotti (In: New Frontiers in Homogenization and Fractional Calculus (Duran i Lamiel, J., Maione, A. eds). Trends in Mathematics. Birkhäuser, Cham.)
The Pólya-Szegö principle in the fractional setting: a glimpse on nonlocal functional inequalities (2026) - F. Cheng - P. Wozniak (Preprint)
Effective Brinkman law of the viscoelastoplastic models on randomly perforated domains (2026) - M. Fogagnolo - A. Pinamonti - S. Verzellesi (Preprint)
Unexpected phenomena for mean curvature functionals in the Heisenberg group (2026) - A. Maione (In: Duran i Lamiel, J., Maione, A. (eds) New Frontiers in Homogenization and Fractional Calculus. Trends in Mathematics. Birkhäuser, Cham)
Fractional Sobolev spaces via interpolation, and applications to mixed local-nonlocal operators (2026) - F. Riva (ESAIM:COCV)
From cohesive to brittle debonding: the quasistatic framework (2026) - H. Liao - A. R. Mészáros - C. Mou - C. Zhou (Accepted Paper: Appl. Math. Optim.)
Convergence analysis of controlled particle systems arising in deep learning: from finite to infinite sample size (2026) - V. Amato - R. Barbato - S. Cito - A. L. Masiello - G. Paoli (Annali di Matematica Pura ed Applicata)
A quantitative Talenti-type comparison result with Robin boundary conditions (2026) - J. Duran Lamiel
A survey on the resolvent convergence (2025) - A. Braides - S. Scalabrino - C. Trifone (J. Convex Anal.)
Homogenization of non-local energies on disconnected sets (2026) - C. Mantegazza - M. Novaga - A. Pluda - F. Schulze (Astérisque)
Evolution of Networks with Multiple Junctions (2024) - M. Eleuteri - F. Prinari (Accepted Paper: Nonlinear Analysis: RealWorld Applications)
$Γ$-convergence for power-law functionals with variable exponents (2021) - M. Caselli - M. Eleuteri - A. Passarelli di Napoli (Accepted Paper: ESAIM Control Optim. Calc. Var.)
Regularity results for a class of obstacle problems with $p,q-$growth conditions (2021) - M. Eleuteri - F. Prinari - E. Zappale (Accepted Paper: Mathematical Models and Methods in Applied Sciences)
Asymptotic analysis of thin structures with point dependent energy growth (2024) - M. Eleuteri - L. Lussardi - U. Stefanelli (Accepted Paper: Discrete Contin. Dyn. Syst. Ser. S.)
Thermal control of the Souza-Auricchio model for shape memory alloys (2013) - M. Eleuteri - P. Harjulehto - T. Lukkari (Accepted Paper: Complex Var. Elliptic Equ.)
Global regularity and stability of solutions to elliptic equations with nonstandard growth (2011) - M. Eleuteri - L. Lussardi - U. Stefanelli (Accepted Paper: Netw. Heterog. Media)
A rate-independent model for permanent inelastic effects in shape memory materials (2011) - M. Eleuteri - J. Habermann (Accepted Paper: Math. Nachr.)
A Hölder continuity result for a class of obstacle problems under non standard growth conditions (2011) - M. Eleuteri - P. Harjulehto - T. Lukkari (Accepted Paper: Rev. Mat. Complut.)
Global regularity and stability of solutions to obstacle problems with nonstandard growth (2013) - M. Eleuteri - J. Habermann (Accepted Paper: J. Math. Anal. Appl.)
Calderón-Zygmund type estimates for a class of obstacle problems with p(x) growth (2010) - O. Bottauscio - V. Chiadò Piat - M. Eleuteri - L. Lussardi - A. Manzin (Accepted Paper: Physica B)
Homogenization of random anisotropy properties in polycrystalline magnetic materials (2012) - O. Bottauscio - V. Chiadò Piat - M. Eleuteri - L. Lussardi - A. Manzin (Accepted Paper: Math. Models Meth. Appl. Sci.)
Determination of the equivalent anisotropy properties of polycrystalline magnetic materials: theoretical aspects and numerical analysis (2013) - M. Eleuteri - J. Habermann (Accepted Paper: J. Math. Anal. Appl.)
Regularity results for a class of obstacle problems under non standard growth conditions (2008) - M. Eleuteri - L. Lussardi (Accepted Paper: Evolution Equations and Control Theory)
Thermal control of a rate-independent model for permanent inelastic effects in shape memory materials (2014) - M. Eleuteri (Accepted Paper: Appl. Math.)
Regularity results for a class of obstacle problems (2007) - M. Eleuteri (Accepted Paper: Boll. Unione Mat. Ital.)
Hölder continuity results for a class of functionals with non standard growth (2004) - M. Eleuteri - L. Lussardi - A. Torricelli (Accepted Paper: ESAIM COCV)
Asymptotic analysis of a family of non-local functionals on sets (2023) - L. D'Elia - M. Eleuteri - E. Zappale (Accepted Paper: Analysis and Applications)
Homogenization of supremal functionals in vectorial setting (via power-law approximation) (2024) - M. Eleuteri - L. Lussardi - A. Torricelli - E. Zappale (Accepted Paper: Nonlinear Analysis: Real World Applications)
Homogenization and 3D-2D dimension reduction of a functional on manifold valued Sobolev spaces (2026)