Global regularity for a singular equation and local H-1 minimizers of a nondifferentiable functional

Dávila J.

Abstract

We prove optimal Hölder estimates up to the boundary for the maximal solution of a singular elliptic equation. The techniques used in this argument are applied to show that in some situations the maximal solution is a local minimizer of the corresponding functional in the topology of H1.

Más información

Título según WOS: Global regularity for a singular equation and local H-1 minimizers of a nondifferentiable functional
Título según SCOPUS: Global regularity for a singular equation and local H1 minimizers of a nondifferentiable functional
Título de la Revista: COMMUNICATIONS IN CONTEMPORARY MATHEMATICS
Volumen: 6
Número: 1
Editorial: WORLD SCIENTIFIC PUBL CO PTE LTD
Fecha de publicación: 2004
Página de inicio: 165
Página final: 193
Idioma: English
URL: http://www.worldscientific.com/doi/abs/10.1142/S0219199704001240
DOI:

10.1142/S0219199704001240

Notas: ISI, SCOPUS