Singular elliptic problems with convection term in anisotropic media

Louis Dupaigne (1) , Marius Ghergu (2) , Vicentiu Radulescu (2)

1 LAMFA - Laboratoire Amiénois de Mathématique Fondamentale et Appliquée
2 UCV - Department of Mathematics

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

Mots clés: singular elliptic equation; convection term; anisotropic media; singular potential; maximum principle

Domaines: Equations aux dérivées partielles [math.AP]

Louis Dupaigne, Marius Ghergu, Vicentiu Radulescu. Singular elliptic problems with convection term in anisotropic media. 2006. ⟨hal-00078851⟩