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- W2247167021 abstract "In this paper, we consider the problem begin{align*}begin{cases}-mbox{rm div}(|nabla u|^{p-2}nabla u)=lambda u-b(x)h(u),&xin Omegau=+infty, &mbox{on} partialOmega.end{cases}end{align*}where $Omega$ is a smooth bounded domain in ${bf R^N}$. The weight function $b(x)$ is a non-negative continuous function in the domain, $h(u)$ is locally Lipschitz continuous, $h(u)/u^{p-1}$ is increasing on $(0,infty)$ and $h(u)sim Hu^{m(p-1)}$ for sufficiently large $u$ with $H>0$ and $m>1$. We establish conditions sufficient to ensure the existence of positive large solutions of the equation." @default.
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- W2247167021 date "2011-12-28" @default.
- W2247167021 modified "2023-09-25" @default.
- W2247167021 title "Existence of Large Solutions for Quasilinear Elliptic Equation" @default.
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- W2247167021 doi "https://doi.org/10.26713/cma.v2i2-3.134" @default.
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