Existence and Multiplicity Results for the p-Laplacian with a p-Gradient Term

Iturriaga, L; Lorca S.; Sanchez J.

Abstract

We study the existence and multiplicity of positive solutions to p-Laplace equations where the nonlinear term depends on a p-power of the gradient. For this purpose we combine Picone's identity, blow-up arguments, the strong maximum principle and Liouville-type theorems to obtain a priori estimates.

Más información

Título según WOS: Existence and Multiplicity Results for the p-Laplacian with a p-Gradient Term
Título según SCOPUS: Existence and multiplicity results for the p-Laplacian with a p-Gradient term
Título de la Revista: NODEA-NONLINEAR DIFFERENTIAL EQUATIONS AND APPLICATIONS
Volumen: 15
Número: 6
Editorial: SPRINGER INTERNATIONAL PUBLISHING AG
Fecha de publicación: 2008
Página de inicio: 729
Página final: 743
Idioma: English
URL: http://link.springer.com/10.1007/s00030-008-0064-8
DOI:

10.1007/s00030-008-0064-8

Notas: ISI, SCOPUS