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1995 Symmetry properties of positive solutions to some elliptic equations with nonlinear boundary conditions
Susanna Terracini
Differential Integral Equations 8(8): 1911-1922 (1995).

Abstract

We study symmetry properties of positive solutions to some semilinear elliptic problems with nonlinear Neumann boundary conditions. We give sufficient conditions to have symmetry around the $\e_n$-axis of positive solutions of problems on the half-space. The proofs are based on the moving plane method. Finally some symmetry results are given in the case when the domain is a ball.

Citation

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Susanna Terracini. "Symmetry properties of positive solutions to some elliptic equations with nonlinear boundary conditions." Differential Integral Equations 8 (8) 1911 - 1922, 1995.

Information

Published: 1995
First available in Project Euclid: 20 May 2013

zbMATH: 0835.35055
MathSciNet: MR1348957

Subjects:
Primary: 35J65
Secondary: 35B05

Rights: Copyright © 1995 Khayyam Publishing, Inc.

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Vol.8 • No. 8 • 1995
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