An existence result for gradient-type systems with a nondifferentiable term on unbounded strips

Research output: Contribution to journalArticle

10 Citations (Scopus)

Abstract

In this paper we study the existence of nontrivial solutions for a class of gradient-type systems on strip-like domains where the nonlinear term is not necessarily continuously differentiable. The proof of the main result is based on a nonsmooth version of the Mountain Pass Theorem which involves the Cerami compactness condition and on the Principle of Symmetric Criticality for locally Lipschitz functions.

Original languageEnglish
Pages (from-to)186-204
Number of pages19
JournalJournal of Mathematical Analysis and Applications
Volume299
Issue number1
DOIs
Publication statusPublished - Nov 1 2004

Fingerprint

Locally Lipschitz Function
Gradient System
Mountain Pass Theorem
Continuously differentiable
Criticality
Nontrivial Solution
Type Systems
Existence Results
Strip
Compactness
Term
Class

Keywords

  • Locally Lipschitz functions
  • Nonsmooth Cerami condition
  • Principle of symmetric criticality
  • Quasilinear elliptic systems
  • Strip-like domain

ASJC Scopus subject areas

  • Analysis
  • Applied Mathematics

Cite this

@article{d34e2674871f4fcb8387ac614f23e7b9,
title = "An existence result for gradient-type systems with a nondifferentiable term on unbounded strips",
abstract = "In this paper we study the existence of nontrivial solutions for a class of gradient-type systems on strip-like domains where the nonlinear term is not necessarily continuously differentiable. The proof of the main result is based on a nonsmooth version of the Mountain Pass Theorem which involves the Cerami compactness condition and on the Principle of Symmetric Criticality for locally Lipschitz functions.",
keywords = "Locally Lipschitz functions, Nonsmooth Cerami condition, Principle of symmetric criticality, Quasilinear elliptic systems, Strip-like domain",
author = "A. Krist{\'a}ly",
year = "2004",
month = "11",
day = "1",
doi = "10.1016/j.jmaa.2004.06.026",
language = "English",
volume = "299",
pages = "186--204",
journal = "Journal of Mathematical Analysis and Applications",
issn = "0022-247X",
publisher = "Academic Press Inc.",
number = "1",

}

TY - JOUR

T1 - An existence result for gradient-type systems with a nondifferentiable term on unbounded strips

AU - Kristály, A.

PY - 2004/11/1

Y1 - 2004/11/1

N2 - In this paper we study the existence of nontrivial solutions for a class of gradient-type systems on strip-like domains where the nonlinear term is not necessarily continuously differentiable. The proof of the main result is based on a nonsmooth version of the Mountain Pass Theorem which involves the Cerami compactness condition and on the Principle of Symmetric Criticality for locally Lipschitz functions.

AB - In this paper we study the existence of nontrivial solutions for a class of gradient-type systems on strip-like domains where the nonlinear term is not necessarily continuously differentiable. The proof of the main result is based on a nonsmooth version of the Mountain Pass Theorem which involves the Cerami compactness condition and on the Principle of Symmetric Criticality for locally Lipschitz functions.

KW - Locally Lipschitz functions

KW - Nonsmooth Cerami condition

KW - Principle of symmetric criticality

KW - Quasilinear elliptic systems

KW - Strip-like domain

UR - http://www.scopus.com/inward/record.url?scp=4644342090&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=4644342090&partnerID=8YFLogxK

U2 - 10.1016/j.jmaa.2004.06.026

DO - 10.1016/j.jmaa.2004.06.026

M3 - Article

AN - SCOPUS:4644342090

VL - 299

SP - 186

EP - 204

JO - Journal of Mathematical Analysis and Applications

JF - Journal of Mathematical Analysis and Applications

SN - 0022-247X

IS - 1

ER -