Volume no :49, Issue no: 1, January (2018)

Journal of Mathematical Sciences: Advances and Applications

EXISTENCE OF MULTIPLE POSITIVE SOLUTIONS FOR A VARIATIONAL INEQUALITY OF KIRCHHOFF TYPE

Author's: Belal Almuaalemi, Haibo Chen and Sofiane Khoutir
Pages: [1] - [14]
Received Date: November 2, 2017
Submitted by:
DOI: http://dx.doi.org/10.18642/jmsaa_7100121883

Abstract

This paper is devoted to prove the existence and the multiplicity of positive solutions for a class of a nonlinear variational inequality of Kirchhoff type. Under more general superlinear assumptions on the nonlinear term, we prove the existence of multiple positive solutions via non-smooth critical point theory for Szulkin-type functional.

Keywords

variational inequality, multiple positive solutions, Szulkin-type functional.