Affiliation:
1. College of Mathematical Sciences, Harbin Engineering University, Harbin 150001, People’s Republic of China
Abstract
In this paper, we study the existence of at least two non-trivial solutions for a class of
p
(
x
)-Laplacian equations with perturbation in the whole space. Using Ekeland’s variational principle and the mountain pass theorem, under appropriate assumptions, we prove the existence of two solutions for the equations.
Funder
National Natural Science Foundation of China
Research Funds for the Central Universities
Subject
General Physics and Astronomy,General Engineering,General Mathematics