EXISTENCE AND MULTIPLICITY OF SOLUTIONS FOR A DIFFERENTIAL INCLUSION PROBLEM INVOLVING THE p(x)-LAPLACIAN
نویسنده
چکیده
In this article we consider the differential inclusion − div(|∇u|p(x)−2∇u) ∈ ∂F (x, u) in Ω, u = 0 on ∂Ω which involves the p(x)-Laplacian. By applying the nonsmooth Mountain Pass Theorem, we obtain at least one nontrivial solution; and by applying the symmetric Mountain Pass Theorem, we obtain k-pairs of nontrivial solutions in W 1,p(x) 0 (Ω).
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