Existence of solutions for an asymptotically linear Dirichlet problem via Lazer-Solimini results

DOI10.1016/j.na.2008.10.031zbMath1168.35364OpenAlexW2074532117MaRDI QIDQ1021696

Sigifredo Herrón, Jorge Cossio, Carlos Vélez

Publication date: 9 June 2009

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.2008.10.031

zbMATH Keywords

Morse indexsemilinear elliptic equationLeray-Schauder degreeLazer-Solimini arguments

Mathematics Subject Classification ID

Nonlinear boundary value problems for linear elliptic equations (35J65) Nonlinear elliptic equations (35J60) Abstract critical point theory (Morse theory, Lyusternik-Shnirel'man theory, etc.) in infinite-dimensional spaces (58E05) Variational methods for second-order elliptic equations (35J20)

Related Items (7)

Existence and multiplicity results for a semilinear elliptic problem ⋮ Existence of seven solutions for an asymptotically linear Dirichlet problem without symmetries ⋮ Bifurcation curves of a logistic equation when the linear growth rate crosses a second eigenvalue ⋮ Multiple solutions for nonlinear Dirichlet problems via bifurcation and additional results ⋮ Perturbed asymptotically linear problems ⋮ Non-uniformly asymptotically linear \(p\)-Laplacian problems ⋮ Three weak solutions for elliptic Dirichlet problems

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• On a superlinear elliptic equation
• A sign-changing solution for a superlinear Dirichlet problem
• On the existence of sign changing solutions for semilinear Dirichlet problems
• Multiple solutions for asymptotically linear resonant elliptic problems
• Nontrivial solutions for a semilinear Dirichlet problem with nonlinearity crossing multiple eigenvalues
• Infinite dimensional Morse theory and multiple solution problems
• On an asymptotically linear elliptic Dirichlet problem
• A reduction algorithm for sublinear Dirichlet problems.
• Nontrivial solutions of operator equations and Morse indices of critical points of min-max type
• Solutions of asymptotically linear operator equations via morse theory
• A Note on Degree Theory for Gradient Mappings
• Multiple Solutions for a Nonlinear Dirichlet Problem
• On multiple solutions of a nonlinear dirichlet problem
• Nonlinear functional analysis. A first course

This page was built for publication: Existence of solutions for an asymptotically linear Dirichlet problem via Lazer-Solimini results