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• W2024010274 startingPage "465" @default.
• W2024010274 abstract "Let $f$ be a continuous and non-decreasing function such that $f>0$ on $(0,infty)$, $f(0)=0$, su$p_{sgeq 1} f(s)/s< infty$ and let $p$ be a non-negative continuous function. We study the existence and nonexistence of explosive solutions to the equation $Delta u+|nabla u|=p(x)f(u)$ in $Omega,$ where $Omega$ is either a smooth bounded domain or $Omega=mathbb R^N$. If $Omega$ is bounded we prove that the above problem has never a blow-up boundary solution. Since $f$ does not satisfy the Keller-Osserman growth condition at infinity, we supply in the case $Omega=mathbb R^N$ a necessary and sufficient condition for the existence of a positive solution that blows up at infinity." @default.
• W2024010274 created "2016-06-24" @default.
• W2024010274 creator A5031333422 @default.
• W2024010274 creator A5046418385 @default.
• W2024010274 date "2004-06-01" @default.
• W2024010274 modified "2023-10-05" @default.
• W2024010274 title "Nonradial blow-up solutions of sublinear elliptic equations with gradient term" @default.
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• W2024010274 doi "https://doi.org/10.3934/cpaa.2004.3.465" @default.
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