THREE SOLUTIONS FOR A CLASS OF NONHOMOGENEOUS NONLOCAL SYSTEMS: AN ORLICZ-SOBOLEV SPACE SETTING

TitleTHREE SOLUTIONS FOR A CLASS OF NONHOMOGENEOUS NONLOCAL SYSTEMS: AN ORLICZ-SOBOLEV SPACE SETTING
Publication TypeJournal Article
Year of Publication2017
AuthorsBOHNER MARTIN, CARISTI GIUSEPPE, HEIDARKHANI SHAPOUR, SALARI AMJAD
JournalDynamic Systems and Applications
Volume26
Issue2
Start Page259
Pagination24
Date Published2017
ISSN1056-2176
AMS Subject Classification35J60, 35J70, 46E35, 58E05, 68T40, 76A02
Abstract

In this work, we investigate the existence of multiple solutions for a class of nonhomogeneous nonlocal systems via variational methods and critical point theory. We give a new criteria for guaranteeing that the nonhomogeneous nonlocal systems with a perturbed term have at least three solutions in an appropriate Orlicz-Sobolev space. By presenting two examples we illustrate the results.
PDFhttps://acadsol.eu/dsa/articles/26/2/4.pdf
DOI10.12732/dsa.v26i2.4
Refereed DesignationRefereed