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Singular elliptic problems with convection term in anisotropic media
Author(s) -
Louis Dupaigne,
Marius Ghergu,
Vicenţiu D. Rădulescu
Publication year - 2006
Publication title -
aip conference proceedings
Language(s) - English
Resource type - Conference proceedings
SCImago Journal Rank - 0.177
H-Index - 75
eISSN - 1551-7616
pISSN - 0094-243X
DOI - 10.1063/1.2205038
Subject(s) - sublinear function , mathematics , mathematical analysis , bifurcation , singular solution , uniqueness , boundary value problem , singular point of a curve , elliptic curve , term (time) , nonlinear system , bifurcation theory , quarter period , maximum principle , physics , mathematical optimization , optimal control , quantum mechanics
We are concerned with singular elliptic problems of the form $-\Delta u\pm p(d(x))g(u)=\la f(x,u)+\mu |\nabla u|^a$ in $\Omega,$ where $\Omega$ is a smooth bounded domain in $\RR^N$, $d(x)={\rm dist}(x,\partial\Omega),$ $\la>0,$ $\mu\in\RR$, $0

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