A population biological model with a singulat nonlinearity.

Autor: Rasouli, Sayyed Hashem
Jazyk: angličtina
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Druh dokumentu: Non-fiction
ISSN: 0862-7940
Abstrakt: Abstract: We consider the existence of positive solutions of the singular nonlinear semipositone problem of the form \begin{cases} - div(|x|^{-\alpha p}|\nabla u|^{p-2}\nabla u)=|x|^{-(\alpha+1)p+\beta} \Big(a u^{p-1}-f(u)-\dfrac{c}{u^{\gamma}}\Big), \quad x\in\Omega, u=0, \quad x\in\partial\Omega, \end{cases} where $\Omega$ is a bounded smooth domain of ${\mathbb R}^N$ with $0\in\Omega$, $1
Databáze: Katalog Knihovny AV ČR
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