Symmetry results for decay solutions of semilinear elliptic systems on half spaces

DOI10.1016/j.na.2011.12.014zbMath1237.35061OpenAlexW2075389061MaRDI QIDQ765246

Baiyu Liu, Li Ma

Publication date: 19 March 2012

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

Full work available at URL: https://doi.org/10.1016/j.na.2011.12.014

zbMATH Keywords

symmetrypositive solutionsNeumann boundary conditionmethod of moving planes

Mathematics Subject Classification ID

Semilinear elliptic equations (35J61) Positive solutions to PDEs (35B09) Symmetries, invariants, etc. in context of PDEs (35B06)

Related Items (4)

Radial symmetry results for fractional Laplacian systems ⋮ Monotonicity and radial symmetry results for Schrödinger systems with fractional diffusion ⋮ Monotonicity and symmetry of fractional Lane–Emden-type equation in the parabolic domain ⋮ A Liouville type result for Schrödinger equation on half-spaces

Cites Work

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• Moving plane methods for systems on half spaces
• The proof of the Lane-Emden conjecture in four space dimensions
• Symmetry and related properties via the maximum principle
• Classification of solutions of some nonlinear elliptic equations
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• Symmetry results for semilinear elliptic systems in the whole space
• Classifications of nonnegative solutions to some elliptic problems.
• Some nonexistence results for positive solutions of elliptic equations in unbounded domains.
• Uniqueness theorems through the method of moving spheres
• A symmetry problem in potential theory
• Liouville type theorems, monotonicity results and a priori bounds for positive solutions of elliptic systems
• NON-EXISTENCE, MONOTONICITY FOR POSITIVE SOLUTIONS OF SEMILINEAR ELLIPTIC SYSTEM IN $\mathbb{R}_+^N$
• Global and local behavior of positive solutions of nonlinear elliptic equations
• Monotonicity and symmetry of solutions of fully nonlinear elliptic equations on unbounded domains
• Some notes on the method of moving planes
• Symmetry of ground states for a semilinear elliptic system

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