Qualitative properties of positive solutions to nonlinear pde and FBP

DOI10.1016/0362-546X(95)00076-8zbMath0859.35006OpenAlexW2041822247MaRDI QIDQ4894168

Henrik Shahgholian

Publication date: 9 April 1997

Published in: Nonlinear Analysis: Theory, Methods & Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0362-546x(95)00076-8

zbMATH Keywords

monotonicityuniquenessmoving plane methodsymmetry of solutionsLipschitz continuity of the free boundaryring-shaped domains

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Nonlinear boundary value problems for linear elliptic equations (35J65) Oscillation, zeros of solutions, mean value theorems, etc. in context of PDEs (35B05) Free boundary problems for PDEs (35R35)

Cites Work

• Symmetry properties for positive solutions of elliptic equations with mixed boundary conditions
• Rearrangements and convexity of level sets in PDE
• Symmetry and related properties via the maximum principle
• Linear and quasilinear elliptic equations
• A symmetry problem in potential theory
• Some notes on the method of moving planes
• On the method of moving planes and the sliding method
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