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- W2886070873 abstract "The purpose of this paper is to study the singular Neumann problem involving the p$(x)$-Laplace operator: begin{equation} (P_lambda)qquadbegin{cases} - Delta_{p(x)} u +|u|^{p(x)-2}u = frac{lambda a(x)}{u^{delta(x)}} &mbox{in }Omega, ugt0 &mbox{in } Omega, |nabla u|^{p(x)-2}frac{partial u}{partialnu} = b(x) u^{q(x)-2}u &mbox{on } partialOmega, end{cases} end{equation} where $Omegasubsetmathbb{R}^N$, $Ngeq 2$, is a bounded domain with $C^2$ boundary, $lambda$ is a positive parameter, $a, bin C(overline{Omega})$ are non-negative weight functions with compact support in $Omega$ and $delta(x),$ $p(x),$ $q(x) in C(overline{Omega})$ are assumed to satisfy the assumptions (A0)--(A1) in Section 1. We employ the Nehari manifold approach and some variational techniques in order to show the multiplicity of positive solutions for the $p(x)$-Laplacian singular problems." @default.
- W2886070873 created "2018-08-22" @default.
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- W2886070873 date "2018-06-01" @default.
- W2886070873 modified "2023-09-25" @default.
- W2886070873 title "The fibering map approach to a $p(x)$-Laplacian equation with singular nonlinearities and nonlinear Neumann boundary conditions" @default.
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- W2886070873 doi "https://doi.org/10.1216/rmj-2018-48-3-927" @default.
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