Critical points theorems via the generalized Ekeland variational principle and its application to equations of \(p(x)\)-Laplace type in \(\mathbb{R}^{N}\)
type: Item
instance of: scholarly article
title: Critical points theorems via the generalized Ekeland variational principle and its application to equations of \(p(x)\)-Laplace type in \(\mathbb{R}^{N}\)
zbMATH Open document ID: 1409.58004
author: Jung-Hyun Bae
author: Yun-Ho Kim
published in: Taiwanese Journal of Mathematics
publication date: 2019-02-14T00:00:00Z
full work available at URL: https://projecteuclid.org/euclid.twjm/1540195384
Mathematics Subject Classification ID: 58E05
Mathematics Subject Classification ID: 35D30
Mathematics Subject Classification ID: 35J15
Mathematics Subject Classification ID: 35J60
Mathematics Subject Classification ID: 58E30
Mathematics Subject Classification ID: 49J50
zbMATH DE Number: 7021724
zbMATH Keywords: critical points theorems
zbMATH Keywords: Ekeland's variational principle
zbMATH Keywords: mountain pass theorem
zbMATH Keywords: \(p(x)\)-Laplace type operator
zbMATH Keywords: variable exponent Lebesgue-Sobolev spaces
zbMATH Keywords: weak solutions
zbMATH Keywords: continuously Gâteaux differentiable functionals
zbMATH Keywords: Cerami condition
MaRDI profile type: Publication
OpenAlex ID: W2896738905
cites work: On superlinear \(p(x)\)-Laplacian equations in \(\mathbb R^N\)
cites work: Dual variational methods in critical point theory and applications
cites work: On some degenerate quasilinear equations involving variable exponents
cites work: Critical points for multiple integrals of the calculus of variations
cites work: A nondifferentiable extension of a theorem of Pucci and Serrin and applications
cites work: Q5409424
cites work: Existence results for a Neumann problem involving the \(p(x)\)-Laplacian with discontinuous nonlinearities
cites work: A characterization of the mountain pass geometry for functionals bounded from below.
cites work: A critical point theorem via the Ekeland variational principle
cites work: Relations between the mountain pass theorem and local minima
cites work: Discontinuous elliptic problems involving the p(x)‐Laplacian
cites work: Existence and multiplicity of weak solutions for elliptic Dirichlet problems with variable exponent
cites work: Sturm-Liouville equations involving discontinuous nonlinearities
cites work: On the structure of the critical set of non-differentiable functions with a weak compactness condition
cites work: Existence and multiplicity results for elliptic problems with \(p(\cdot)\)-growth conditions
cites work: Remarks on finding critical points
cites work: Q3876715
cites work: Infinitely many solutions for equations of p(x)-Laplace type with the nonlinear Neumann boundary condition
cites work: Multiple solutions for an eigenvalue problem involving \(p\)-Laplacian type operators
cites work: Nontrivial solutions for perturbations of the \(p\)-Laplacian on unbounded domains
cites work: Lebesgue and Sobolev spaces with variable exponents
cites work: Sobolev embeddings with variable exponent
cites work: On the variational principle
cites work: Sobolev embedding theorems for spaces \(W^{k,p(x)}(\Omega)\)
cites work: On the spaces \(L^{p(x)}(\Omega)\) and \(W^{m,p(x)}(\Omega)\)
cites work: Q4272029
cites work: On the existence of bounded Palais–Smale sequences and application to a Landesman–Lazer-type problem set on ℝN
cites work: Mountain pass type solutions and positivity of the infimum eigenvalue for quasilinear elliptic equations with variable exponents
cites work: Existence and multiplicity of solutions for equations of \(p(x)\)-Laplace type in \(\mathbb{R}^N\) without AR-condition.
cites work: A weak nonsmooth Palais-Smale condition and coercivity
cites work: On a sub-supersolution method for variational inequalities with Leray-Lions operators in variable exponent spaces
cites work: Existence and multiplicity of solutions for equations involving nonhomogeneous operators of \(p(x)\)-Laplace type in \(\mathbb{R}^{N}\)
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: Infinitely many critical points of non-differentiable functions and applications to a Neumann-type problem involving the \(p\)-Laplacian
cites work: On a three critical points theorem for non-differentiable functions and applications to nonlinear boundary value problems
cites work: Superlinear problems without Ambrosetti and Rabinowitz growth condition
cites work: A general variational principle and some of its applications
cites work: On a three critical points theorem
cites work: Electrorheological fluids: modeling and mathematical theory
cites work: Q4223582
cites work: On superlinear \(p(x)\)-Laplacian problems without Ambrosetti and Rabinowitz condition
cites work: On Ekeland's variational principle and a minimax theorem
cites work: A generalization of Ekerland's variational principle and application to the study of the relation between the weak P.S. condition and coercivity
DOI: 10.11650/TJM/181004
description: scientific article; zbMATH DE number 7021724