(1) Department of Mathematics, Harbin Institute of Technology, Harbin, 150001, China
Abstract:
We analyze a class of quasilinear elliptic problems involving a p(·)-Laplace-type operator on a bounded domain
W ì \mathbb RN{\Omega\subset{\mathbb R}^N}, N ≥ 2, and we deal with nonlinear conditions on the boundary. Working on the variable exponent Lebesgue–Sobolev spaces, we
follow the steps described by the “fountain theorem” and we establish the existence of a sequence of weak solutions.