Skip to Main content Skip to Navigation
Theses

Equations elliptiques semilineaires avec potentiel singulier

Abstract : We consider simple semilinear elliptic equations of the form Lu = F(x,u), where L is the usual Laplacian with Dirichlet condition on a bounded smooth domain of R^n and where F can be singular in the variable x. We obtain in particular a sharp criterion for existence of solutions, which leads to a new critical exponent in applications.
Document type :
Theses
Complete list of metadata

Cited literature [40 references]  Display  Hide  Download

https://tel.archives-ouvertes.fr/tel-00002721
Contributor : Louis Dupaigne <>
Submitted on : Friday, April 11, 2003 - 2:33:41 PM
Last modification on : Wednesday, December 9, 2020 - 3:13:21 PM
Long-term archiving on: : Friday, April 2, 2010 - 6:37:43 PM

Identifiers

  • HAL Id : tel-00002721, version 1

Citation

Louis Dupaigne. Equations elliptiques semilineaires avec potentiel singulier. Mathematics [math]. Université Pierre et Marie Curie - Paris VI, 2001. English. ⟨tel-00002721⟩

Share

Metrics

Record views

685

Files downloads

374