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- W2169547184 abstract "By applying two versions of Mountain Pass Theorem, we prove two different situations of the existence of solutions for the following Steklov problem $Delta_{p(x)}u =|u|^{p(x)-2}u$ in $Omega$, $|nabla u|^{p(x)-2}frac{partial u}{partial nu}= lambda |u|^{q(x)-2}u$ on $partialOmega$, where $Omega$ is a bounded domain in $mathbb{R}^{N}(Ngeq 2)$ with smooth boundary $partialOmega$ and $p(.), q(.):bar{Omega}rightarrow (1, +infty)$ are continuous functions." @default.
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- W2169547184 date "2014-01-29" @default.
- W2169547184 modified "2023-09-25" @default.
- W2169547184 title "Existence of solutions for a Steklov proble involving the $p(x)$-Laplacian" @default.
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- W2169547184 doi "https://doi.org/10.5269/bspm.v31i1.15731" @default.
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