In this paper, we discuss a nonlinear eigenvalue problem driven by the p(x)-Laplacian in a variable exponent space. The differentiability and the energy functional using Ekeland’s principle are investigated. The existence of infinitely many eigenvalues is also established.
How to Cite this Article:
Nawel Benouhiba, Nonlocal eigenvalue problems in variable exponent Sobolev spaces, Journal of Nonlinear Functional Analysis 2015 (2015), Article ID 21.