Partial differential equations involving subcritical, critical and supercritical nonlinearities

Lorca S.; Ubilla P.

Abstract

We establish the existence of at least one nonnegative solution for the problem(P) ?-div(a(|?u|)?u)=?f(u)in?,u= 0on??,where a and f satisfy conditions near zero. Here the novelty is that we do not need restrictions on the nonlinearities at infinity. Therefore, we can consider subcritical, critical and supercritical cases. © 2003 Elsevier Ltd. All rights reserved.

Más información

Título según WOS: Partial differential equations involving subcritical, critical and supercritical nonlinearities
Título según SCOPUS: Partial differential equations involving subcritical, critical and supercritical nonlinearities
Título de la Revista: NONLINEAR ANALYSIS-THEORY METHODS APPLICATIONS
Volumen: 56
Número: 1
Editorial: PERGAMON-ELSEVIER SCIENCE LTD
Fecha de publicación: 2004
Página de inicio: 119
Página final: 131
Idioma: English
URL: http://linkinghub.elsevier.com/retrieve/pii/S0362546X03003420
DOI:

10.1016/j.na.2003.09.002

Notas: ISI, SCOPUS