Classification of positive solutions of semilinear elliptic equations.

DOI10.1016/j.crma.2003.10.038zbMath1048.35020OpenAlexW1967918712MaRDI QIDQ1426536

Jérôme Busca, Serguei Zelik, Messoud A. Efendiev

Publication date: 15 March 2004

Published in: Comptes Rendus. Mathématique. Académie des Sciences, Paris (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.crma.2003.10.038

zbMATH Keywords

semilinear elliptic equationspositive solutionsboundary value problems

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Nonlinear elliptic equations (35J60)

Related Items

Abundance of entire solutions to nonlinear elliptic equations by the variational method ⋮ The Dirichlet problem for semilinear elliptic equations in an infinite sector

Cites Work

• Nonlinear scalar field equations. I: Existence of a ground state
• Uniqueness of positive solutions of \(\Delta u-u+u^ p=0\) in \(R^ n\)
• Infinite-dimensional dynamical systems in mechanics and physics
• Symmetry results for semilinear elliptic systems in the whole space
• Existence and non-existence results for semilinear elliptic problems in unbounded domains
• Qualitative properties of some bounded positive solutions to scalar field equations
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