Abstract. We analyze a class of quasilinear elliptic problems involving a p(·)-Laplace-type operator on a bounded domain Ω ⊂ 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.
Mathematics Subject Classification (2010
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