Research articles
ScienceAsia (): 556-560 |doi:
10.2306/scienceasia1513-1874...556
Multiple solutions for p(x)-Laplacian type equations
Zigao Chen
ABSTRACT: We prove the existence of at least three weak solutions for the Dirichlet problem when the nonlinear term f is sublinear and p(x) is greater than n. This Dirichlet problem involves a general elliptic operator in divergence form (in particular, a p(x)-Laplace operator). Our method relies upon a recent critical point theorem obtained by Bonanno and Marano, and is combined with the theory of variable exponent Lebesgue-Sobolev spaces.
Download PDF
7 Downloads 1418 Views
| College of Mathematics and Information Science, North China University of Water Resources and Electric Power, Zhengzhou 450011 China |
* Corresponding author, E-mail: chenzigao@ncwu.edu.cn
Received 17 Oct 2012, Accepted 15 Oct 2013
| 
