Symmetry in a free boundary problem for degenerate parabolic equations on unbounded domains

DOI10.1090/S0002-9939-01-05993-7zbMath0980.35071OpenAlexW1857014730MaRDI QIDQ2750856

Elena Sartori, Nicola Garofalo

Publication date: 21 October 2001

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0002-9939-01-05993-7

zbMATH Keywords

free boundary problemAlexandroff-Serrin methodoverdetermined co-normal conditionspherical symmetry of the ground domain and of the solution

Mathematics Subject Classification ID

Nonlinear parabolic equations (35K55) Nonlinear initial, boundary and initial-boundary value problems for linear parabolic equations (35K60)

Related Items (3)

Two-phase heat conductors with a surface of the constant flow property ⋮ Some characterizations of parallel hyperplanes in multi-layered heat conductors ⋮ Symmetry in a parabolic multi-phase overdetermined problem

Cites Work

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• Degenerate parabolic equations
• A characteristic property of spheres
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• Symmetry and related properties via the maximum principle
• Radial symmetry for elliptic boundary-value problems on exterior domains
• Symmetry in exterior boundary value problems for quasilinear elliptic equations via blow-up and a priori estimates
• Radial symmetry for an electrostatic, a capillarity and some fully nonlinear overdetermined problems on exterior domains
• A symmetry problem in potential theory
• Boundary regularity for solutions of degenerate parabolic equations
• Addendum to “Holder estimates for nonlinear degenerate parabolic Systems”.

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