Existence and Multiplicity of Solutions for a Steklov Problem Involving the P(x)-laplace Operator
نویسنده
چکیده
In this article we study the nonlinear Steklov boundary-value problem ∆p(x)u = |u|p(x)−2u in Ω, |∇u|p(x)−2 ∂u ∂ν = λf(x, u) on ∂Ω. Using the variational method, under appropriate assumptions on f , we obtain results on existence and multiplicity of solutions.
منابع مشابه
Infinitely Many Solutions for a Steklov Problem Involving the p(x)-Laplacian Operator
By using variational methods and critical point theory for smooth functionals defined on a reflexive Banach space, we establish the existence of infinitely many weak solutions for a Steklov problem involving the p(x)-Laplacian depending on two parameters. We also give some corollaries and applicable examples to illustrate the obtained result../files/site1/files/42/4Abstract.pdf
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