On multiple solutions of a nonlinear dirichlet problem

DOI10.1016/S0362-546X(96)00240-4zbMath0888.35038OpenAlexW2161576964MaRDI QIDQ4374263

Alfonso Castro, John M. Neuberger, Jorge Cossio

Publication date: 4 February 1998

Published in: Nonlinear Analysis: Theory, Methods & Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0362-546x(96)00240-4

zbMATH Keywords

first two eigenvaluesfive solutions

Mathematics Subject Classification ID

Nonlinear boundary value problems for linear elliptic equations (35J65) Variational methods for second-order elliptic equations (35J20)

Related Items (6)

Infinitely many nonradial solutions to a superlinear Dirichlet problem ⋮ Existence and multiplicity results for a semilinear elliptic problem ⋮ Shooting from singularity to singularity and a semilinear Laplace-Beltrami equation ⋮ Multiple solutions and eigenvalues for third-order right focal boundary value problems ⋮ Multiplicity of nontrivial solutions for elliptic equations with nonsmooth potential and resonance at higher eigenvalues ⋮ Existence of solutions for an asymptotically linear Dirichlet problem via Lazer-Solimini results

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• On nontrivial solutions of an asymptotically linear Dirichlet problem
• Symmetry and related properties via the maximum principle
• Critical point theory and the number of solutions of a nonlinear Dirichlet problem
• Variational and topological methods in partially ordered Hilbert spaces
• Nontrivial critical points for asymptotically quadratic functions
• Dual variational methods in critical point theory and applications
• Homogenization for “Castro-Lazer Equation”
• Nontrivial solutions of operator equations and Morse indices of critical points of min-max type
• Sharp nonuniqueness results for some nonlinear problems
• Solutions of asymptotically linear operator equations via morse theory
• A Note on Degree Theory for Gradient Mappings
• Multiple Solutions for a Nonlinear Dirichlet Problem

This page was built for publication: On multiple solutions of a nonlinear dirichlet problem