Existence of three nontrivial solutions for asymptotically \(p\)-linear noncoercive \(p\)-Laplacian equations
type: Item
instance of: scholarly article
title: Existence of three nontrivial solutions for asymptotically \(p\)-linear noncoercive \(p\)-Laplacian equations
zbMATH Open document ID: 1219.35069
author: Nikolaos S. Papageorgiou
author: E. M. Rocha
published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods
publication date: 2011-07-22T00:00:00Z
Mathematics Subject Classification ID: 35J20
Mathematics Subject Classification ID: 35J92
Mathematics Subject Classification ID: 58E05
zbMATH DE Number: 5930927
zbMATH Keywords: mountain pass theorem
zbMATH Keywords: critical groups
zbMATH Keywords: Morse relation
zbMATH Keywords: homotopy invariance
zbMATH Keywords: \(p\)-Laplacian
MaRDI profile type: Publication
full work available at URL: j.na.2011.05.014
OpenAlex ID: W1998040382
cites work: On a superlinear elliptic \(p\)-Laplacian equation.
cites work: Sign-changing and multiple solutions for the \(p\)-Laplacian
cites work: Linking over cones and nontrivial solutions for \(p\)-Laplace equations with \(p\)-superlinear nonlinearity
cites work: Multiple solutions for coercive \(p\)-Laplacian equations
cites work: THE EXISTENCE OF MULTIPLE SOLUTIONS TO QUASILINEAR ELLIPTIC EQUATIONS
cites work: A multiplicity theorem for problems with the \(p\)-Laplacian
cites work: Multiplicity theorems for superlinear elliptic problems
cites work: Construction of pseudo-gradient vector field and sign-changing multiple solutions involving \(p\)-Laplacian
cites work: Q3899074
cites work: Solutions of asymptotically linear operator equations via morse theory
cites work: Nontrivial solutions of operator equations and Morse indices of critical points of min-max type
cites work: Infinite dimensional Morse theory and multiple solution problems
cites work: Critical point theory and Hamiltonian systems
cites work: Critical point theory for asymptotically quadratic functionals and applications to problems with resonance
cites work: Q4439479
cites work: A strong maximum principle for some quasilinear elliptic equations
cites work: Nontrivial critical groups in \(p\)-Laplacian problems via the Yang index
cites work: On theorems of Borsuk-Ulam, Kakutani-Yamabe-Yujobô and Dyson. I
cites work: Resonance problems for the \(p\)-Laplacian
cites work: \(p\)-Laplacian problems where the nonlinearity crosses an eigenvalue
cites work: Solution of nonlinear equations having asymptotic limits at zero and infinity.
cites work: Q4421936
cites work: A degree theoretic approach for multiple solutions of constant sign for nonlinear elliptic equations
cites work: Solvability of nonlinear variational-hemivariational inequalities
cites work: SOBOLEV VERSUS HÖLDER LOCAL MINIMIZERS AND GLOBAL MULTIPLICITY FOR SOME QUASILINEAR ELLIPTIC EQUATIONS
cites work: \(W^{1,p}\) versus \(C^1\) local minimizers and multiplicity results for quasilinear elliptic equations.
cites work: Some remarks on the Fučík spectrum of the \(p\)-Laplacian and critical groups
cites work: Methods in Nonlinear Analysis
DOI: 10.1016/J.NA.2011.05.014
description: scientific article; zbMATH DE number 5930927