POHOZAEV-TYPE INEQUALITIES AND NONEXISTENCE RESULTS FOR NON C SOLUTIONS OF p(x)-LAPLACIAN EQUATIONS
نویسنده
چکیده
In this article we obtain a Pohozaev-type inequality for Sobolev spaces with variable exponents. This inequality is used for proving the nonexistence of nontrivial weak solutions for the Dirichlet problem −∆p(x)u = |u|q(x)−2u, x ∈ Ω u(x) = 0, x ∈ ∂Ω, with non-standard growth. Our results extend those obtained by Ôtani [16].
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