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Mohsen Alimohammady

Academic rank: Professor
ORCID:
Education: PhD.
ScopusId:
Faculty: Faculty of Mathematical Sciences
Address:
Phone: 011-35302462

Research

Title
Three critical solutions for variational - hemivariational inequalities involving p(x)-Kirchhoff type equation
Type
JournalPaper
Keywords
Non-smooth critical point theory, principle of symmetric criticality, variational-hemivariational inequality, p(x)-Kirchhoff type operator
Year
2017
Journal Annals of the University of Craiova, Mathematics and Computer Science Series
DOI
Researchers Fariba Fattahi ، Mohsen Alimohammady

Abstract

In this paper, we study the existence of three solutions to the p(x)-Kirchhoff type equations in RN: By means of nonsmooth three critical points theorem and the theory of the variable exponent Sobolev spaces, we establish the existence of three critical points for the problem. Moreover, we study the existence of three radially symmetric solutions for a class of quasilinear elliptic inclusion problem with discontinuous nonlinearities in RN: Our approach is based on critical point theory for locally Lipschitz functionals due to Iannizzotto.