Multiple solutions for superlinear Dirichlet problems with an indefinite potential
type: Item
instance of: scholarly article
title: Multiple solutions for superlinear Dirichlet problems with an indefinite potential
zbMATH Open document ID: 1268.35061
author: Nikolaos S. Papageorgiou
author: Sophia Th. Kyritsi
published in: Annali di Matematica Pura ed Applicata. Serie Quarta
publication date: 2013-04-12T00:00:00Z
Mathematics Subject Classification ID: 35J61
Mathematics Subject Classification ID: 35J20
Mathematics Subject Classification ID: 58E05
zbMATH DE Number: 6153615
zbMATH Keywords: superlinear reaction
zbMATH Keywords: critical groups
zbMATH Keywords: mountainpass type critical point
zbMATH Keywords: C-condition
zbMATH Keywords: Morse relation
zbMATH Keywords: three solutions
zbMATH Keywords: indefinite potential
MaRDI profile type: Publication
full work available at URL: s10231-011-0224-z
OpenAlex ID: W2094965609
cites work: Degree theory for operators of monotone type and nonlinear elliptic equations with inequality constraints
cites work: Dual variational methods in critical point theory and applications
cites work: Abstract critical point theorems and applications to some nonlinear problems with “strong” resonance at infinity
cites work: Critical point theory for asymptotically quadratic functionals and applications to problems with resonance
cites work: Infinite dimensional Morse theory and multiple solution problems
cites work: Infinitely many solutions of Dirichlet problem for \(p\)-mean curvature operator
cites work: Q5520521
cites work: Infinitely many solutions of \(p\)-Laplacian equations with limit subcritical growth
cites work: Q4421936
cites work: On the existence of bounded Palais–Smale sequences and application to a Landesman–Lazer-type problem set on ℝN
cites work: The existence of a nontrivial solution to a nonlinear elliptic boundary value problem of \(p\)-Laplacian type without the Ambrosetti-Rabinowitz condition
cites work: Critical point theory and Hamiltonian systems
cites work: Superlinear problems without Ambrosetti and Rabinowitz growth condition
cites work: Homotopy theory of infinite dimensional manifolds
cites work: Handbook of applied analysis
cites work: The maximum principle
cites work: Local behavior of solutions of quasi-linear equations
cites work: Q4139057
cites work: Q3997570
cites work: A strong maximum principle for some quasilinear elliptic equations
cites work: On a superlinear elliptic equation
cites work: Existence and multiplicity of solutions for a class of superlinear \(p\)-Laplacian equations
cites work: Variant fountain theorems and their applications
DOI: 10.1007/S10231-011-0224-Z
description: scientific article; zbMATH DE number 6153615