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Anisotropic geometric variational problems: existence, regularity and uniqueness

CORDIS provides links to public deliverables and publications of HORIZON projects.

Links to deliverables and publications from FP7 projects, as well as links to some specific result types such as dataset and software, are dynamically retrieved from OpenAIRE .

Publications

Existence and regularity of min-max anisotropic minimal hypersurfaces (opens in new window)

Author(s): Guido De Philippis, Antonio De Rosa, Yangyang Li
Published in: 2024
Publisher: Arxiv
DOI: 10.48550/ARXIV.2409.15232

Local Minimizers of the Anisotropic Isoperimetric Problem on Closed Manifolds (opens in new window)

Author(s): Antonio De Rosa, Robin Neumayer
Published in: 2025
Publisher: Arxiv
DOI: 10.48550/ARXIV.2308.04565

Elementary discrete diffusion/redistancing schemes for the mean curvature flow (opens in new window)

Author(s): Antonin Chambolle, Daniele De Gennaro, Massimiliano Morini
Published in: 2025
Publisher: Arxiv
DOI: 10.48550/ARXIV.2506.05946

The asymptotic of the Mullins-Sekerka and the area-preserving curvature flow in the planar flat torus (opens in new window)

Author(s): Vedansh Arya, Daniele De Gennaro, Anna Kubin
Published in: 2025
Publisher: Arxiv
DOI: 10.48550/ARXIV.2503.05399

Existence and regularity of min-max anisotropic minimal hypersurfaces (opens in new window)

Author(s): De Philippis, Guido; De Rosa, Antonio; Li, Yangyang
Published in: 2024
Publisher: Arxiv
DOI: 10.48550/ARXIV.2409.15232

The double and triple bubble problem for stationary varifolds: The convex case (opens in new window)

Author(s): De Rosa, Antonio; Tione, Riccardo
Published in: Transactions of the American Mathematical Society, 2025, ISSN 1088-6850
Publisher: American Mathematical Society
DOI: 10.48550/ARXIV.2301.10705

Variational nonlinear and nonlocal curvature flows (opens in new window)

Author(s): Daniele De Gennaro
Published in: Calculus of Variations and Partial Differential Equations, 2025, ISSN 1432-0835
Publisher: Springer Nature
DOI: 10.48550/ARXIV.2506.05951

The asymptotic of the Mullins-Sekerka and the area-preserving curvature flow in the planar flat torus (opens in new window)

Author(s): Vedansh Arya; Daniele De Gennaro; Anna Kubin
Published in: Journal of Differential Equations, 2025, ISSN 1090-2732
Publisher: Elsevier
DOI: 10.2139/SSRN.5217103

On the Theory of Anisotropic Minimal Surfaces (opens in new window)

Author(s): De Rosa, Antonio
Published in: Notices of the American Mathematical Society, 2024, ISSN 1088-6850
Publisher: American Mathematical Society
DOI: 10.1090/NOTI2980

Direction of impact for explainable risk assessment modeling (opens in new window)

Author(s): Emanuele Borgonovo, Manel Baucells, Antonio De Rosa, Elmar Plischke, John Barr, Herschel Rabitz
Published in: Risk Analysis, Issue 45, 2025, ISSN 0272-4332
Publisher: Wiley
DOI: 10.1111/RISA.70003

Construction of Fillings with Prescribed Gaussian Image and Applications (opens in new window)

Author(s): De Rosa, Antonio; Lei, Yucong; Young, Robert
Published in: Archive for Rational Mechanics and Analysis, 2025, ISSN 1432-0673
Publisher: Springer Nature
DOI: 10.48550/ARXIV.2401.10858

The anisotropic min‐max theory: Existence of anisotropic minimal and CMC surfaces (opens in new window)

Author(s): Guido De Philippis, Antonio De Rosa
Published in: Communications on Pure and Applied Mathematics, Issue 77, 2024, ISSN 0010-3640
Publisher: Wiley
DOI: 10.1002/CPA.22189

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