Existence and multiplicity of solutions for a Steklov eigenvalue problem involving the p(x)-Laplacian-like operator
Resumo
Using the variational method, we prove the
existence and multiplicity of solutions for a Steklov problem involving the $p(x)$-Laplacian-like operator, originated from a capillary phenomena. Especially, an existence criterion for infinite many pairs of solutions for the problem is obtained.
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