NON-EXISTENCE, MONOTONICITY FOR POSITIVE SOLUTIONS OF SEMILINEAR ELLIPTIC SYSTEM IN $\mathbb{R}_+^N$

DOI10.1142/S0219199710003853zbMath1196.35083OpenAlexW1797818518MaRDI QIDQ3577789

Yuxia Guo

Publication date: 23 July 2010

Published in: Communications in Contemporary Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0219199710003853

zbMATH Keywords

non-existencemoving plane methodsemilinear elliptic system

Mathematics Subject Classification ID

Oscillation, zeros of solutions, mean value theorems, etc. in context of PDEs (35B05) A priori estimates in context of PDEs (35B45) Semilinear elliptic equations (35J61) Positive solutions to PDEs (35B09) Boundary value problems for second-order elliptic systems (35J57)

Related Items (3)

Semilinear elliptic system with boundary singularity ⋮ Symmetry results for decay solutions of semilinear elliptic systems on half spaces ⋮ A Liouville type result for Schrödinger equation on half-spaces

Cites Work

• Moving plane methods for systems on half spaces
• A few symmetry results for nonlinear elliptic PDE on noncompact manifolds
• Semilinear elliptic problems with mixed Dirichlet-Neumann boundary conditions.
• Uniqueness theorems through the method of moving spheres
• Liouville type theorems, monotonicity results and a priori bounds for positive solutions of elliptic systems
• Liouville Type Theorems for Positive Solutions of Elliptic System in ℝ^N

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