An existence theorem for positive solutions of semilinear elliptic equations

DOI10.1007/BF00251358zbMath0624.35034OpenAlexW1994640183MaRDI QIDQ1092229

Arthur G. Wassermann, J. A. Smoller

Publication date: 1986

Published in: Archive for Rational Mechanics and Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf00251358

zbMATH Keywords

positive solutionsradial symmetry

Mathematics Subject Classification ID

Nonlinear boundary value problems for linear elliptic equations (35J65) Oscillation, zeros of solutions, mean value theorems, etc. in context of PDEs (35B05)

Related Items

Symmetry-Breakings for Semilinear Elliptic Equations on Finite Cylindrical Domains, Symmetry-breaking for solutions of semilinear elliptic equations with general boundary conditions, On radial solutions for singular combined superlinear elliptic systems on annular domains, Existence of positive solutions for semilinear elliptic equations in general domains, Positive solutions for two-point BVP's: existence and multiplicity results, Multiplicity of solutions to a degenerate diffusion problem., Symmetry, degeneracy, and universality in semilinear elliptic equations. Infinitesimal symmetry-breaking, Uniqueness to quasilinear problems for the \(p\)-Laplacian in radially symmetric domains, Study of the thermal equilibriums of a one-dimensional superconductor wire, On a class of semipositone quasilinear elliptic boundary value problems, Symmetry Breaking for a Class of Semilinear Elliptic Problems

Cites Work

• Existence, uniqueness, and nondegeneracy of positive solutions of semilinear elliptic equations
• Global bifurcation of steady-state solutions
• Symmetry and related properties via the maximum principle
• Fixed Point Equations and Nonlinear Eigenvalue Problems in Ordered Banach Spaces
• On the Existence of Positive Solutions of Semilinear Elliptic Equations