A short survey on overdetermined elliptic problems in unbounded domains
DOI10.1007/978-3-030-87502-2_46OpenAlexW4312532896MaRDI QIDQ6196705
Publication date: 15 March 2024
Published in: Trends in Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/978-3-030-87502-2_46
maximum principleminimal surfacesbifurcation theoryconstant mean curvature surfacesPDEsoverdetermined elliptic problems
Overdetermined boundary value problems for PDEs and systems of PDEs (35N25) Qualitative properties of solutions to partial differential equations (35Bxx) Classical differential geometry (53Axx) Overdetermined problems for partial differential equations and systems of partial differential equations (35Nxx)
Cites Work
- Unnamed Item
- An overdetermined problem in potential theory
- Bifurcating extremal domains for the first eigenvalue of the Laplacian
- The maximum principle
- Serrin's overdetermined problem and constant mean curvature surfaces
- Extremal domains for the first eigenvalue of the Laplace-Beltrami operator
- Radial symmetry for elliptic boundary-value problems on exterior domains
- Solutions to overdetermined elliptic problems in nontrivial exterior domains
- New extremal domains for the first eigenvalue of the Laplacian in flat tori
- On an overdetermined elliptic problem
- Geometry and topology of some overdetermined elliptic problems
- Classification of the solutions to an overdetermined elliptic problem in the plane
- Minimal cones and the Bernstein problem
- A symmetry problem in potential theory
- Symétrie radiale pour des problèmes elliptiques surdéterminés posés dans des domaines extérieurs
- Overdetermined Elliptic Problems in Physics
- On Smooth Solutions to One Phase-Free Boundary Problem in ℝn
- A Rigidity Result for Overdetermined Elliptic Problems in the Plane
- Symmetry for exterior elliptic problems and two conjectures in potential theory
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