Monotonicity up to radially symmetric cores of positive solutions to nonlinear elliptic equations: local moving planes and unique continuation in a non-Lipschitz case

DOI10.1016/j.na.2004.04.007zbMath1096.35044OpenAlexW2015565214MaRDI QIDQ1879765

Patricio L. Felmer, Jean Dolbeault

Publication date: 23 September 2004

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: http://hdl.handle.net/10533/175041

zbMATH Keywords

positive solutionmoving planemonotonicity and symmetry propertiesnon-Lipschitz casesqualar field equation

Mathematics Subject Classification ID

Nonlinear elliptic equations (35J60) Geometric theory, characteristics, transformations in context of PDEs (35A30) Continuation and prolongation of solutions to PDEs (35B60)

Related Items (7)

Symmetry properties of positive solutions for fully nonlinear elliptic systems ⋮ Symmetry properties for nonnegative solutions of non-uniformly elliptic equations in the hyperbolic space ⋮ On symmetry of nonnegative solutions of elliptic equations ⋮ Positivity and symmetry of nonnegative solutions of semilinear elliptic equations on planar domains ⋮ Symmetry results for compactly supported steady solutions of the 2D Euler equations ⋮ Symmetry of Nonnegative Solutions of Elliptic Equations via a Result of Serrin ⋮ Symmetry And Monotonicity Properties For Positive Solutions Of Semi-Linear Elliptic PDE'S

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