Nonlinear elliptic equations with an asymptotically linear reaction term
type: Item
instance of: scholarly article
title: Nonlinear elliptic equations with an asymptotically linear reaction term
zbMATH Open document ID: 1177.35097
author: Nikolaos S. Papageorgiou
author: George Smyrlis
published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods
publication date: 2009-07-24T00:00:00Z
Mathematics Subject Classification ID: 35J65
Mathematics Subject Classification ID: 58E05
Mathematics Subject Classification ID: 35B40
Mathematics Subject Classification ID: 35B38
Mathematics Subject Classification ID: 35J20
zbMATH DE Number: 5586846
zbMATH Keywords: \(p\)-Laplacian
zbMATH Keywords: constant sign solutions
zbMATH Keywords: nodal solutions
zbMATH Keywords: critical point theory
zbMATH Keywords: Morse theory
MaRDI profile type: Publication
full work available at URL: j.na.2009.01.224
OpenAlex ID: W2031021766
cites work: On a superlinear elliptic \(p\)-Laplacian equation.
cites work: Sign-changing and multiple solutions for the \(p\)-Laplacian
cites work: Multiple constant sign and nodal solutions for nonlinear elliptic equations with the \(p\)-Laplacian
cites work: Multiple solutions for coercive \(p\)-Laplacian equations
cites work: THE EXISTENCE OF MULTIPLE SOLUTIONS TO QUASILINEAR ELLIPTIC EQUATIONS
cites work: Multiple nontrivial solutions for nonlinear eigenvalue problems
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: Combined effects of concave and convex nonlinearities in some elliptic problems
cites work: Q5312447
cites work: A strong maximum principle for some quasilinear elliptic equations
cites work: Q4879409
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: The maximum principle
cites work: SOBOLEV VERSUS HÖLDER LOCAL MINIMIZERS AND GLOBAL MULTIPLICITY FOR SOME QUASILINEAR ELLIPTIC EQUATIONS
cites work: Q3140494
cites work: A degree theoretic approach for multiple solutions of constant sign for nonlinear elliptic equations
cites work: The Ambrosetti–Prodi Problem for thep-Laplace Operator
cites work: Q4421936
cites work: Splitting theorem, Poincaré--Hopf theorem and jumping nonlinear problems
cites work: Solvability of nonlinear variational-hemivariational inequalities
cites work: The beginning of the Fučik spectrum for the \(p\)-Laplacian
DOI: 10.1016/J.NA.2009.01.224
description: scientific article; zbMATH DE number 5586846