NONTRIVAL SOLUTION FOR NONLINEAR p(x)-LAPLACIAN DIRICHLET PROBLEM WITH THE SIGN-CHANGING WEIGHT

TitleNONTRIVAL SOLUTION FOR NONLINEAR p(x)-LAPLACIAN DIRICHLET PROBLEM WITH THE SIGN-CHANGING WEIGHT
Publication TypeJournal Article
Year of Publication2015
AuthorsDUDEK SYLWIA
JournalDynamic Systems and Applications
Volume24
Start Page67
Pagination15
Date Published2015
ISSN1056-2176
Abstract

In this paper we study the nonlinear elliptic problem involving p(x)-Laplacian with nonsmooth potential, where the weighted function λ may change sign. By using critical point theory for locally Lipschitz functionals due to Chang [6], we obtain conditions which ensure the existence of a solution for our problem.
PDFhttps://acadsol.eu/dsa/articles/24/05-dsa-67-82.pdf
Refereed DesignationRefereed