On a partially overdetermined problem in a cone

zbMath1425.35122arXiv1707.05460MaRDI QIDQ4972044

Christos Sourdis

Publication date: 22 November 2019

Full work available at URL: https://arxiv.org/abs/1707.05460

zbMATH Keywords

maximum principleblow-upfree boundary problemsoverdetermined problem

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Maximum principles in context of PDEs (35B50) Semilinear elliptic equations with Laplacian, bi-Laplacian or poly-Laplacian (35J91) Overdetermined boundary value problems for PDEs and systems of PDEs (35N25)

Cites Work

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• Saddle-shaped solutions of bistable diffusion equations in all of \(\mathbb R^{2m}\)
• Partial regularity for a minimum problem with free boundary
• A symmetry problem in potential theory
• Global energy minimizers for free boundary problems and full regularity in three dimensions
• Partial Differential Equations
• C^{1, 1} Regularity in semilinear elliptic problems
• On partially and globally overdetermined problems of elliptic type

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