Semi-linear singular elliptic equations with dependence on the gradient

Author	dc.contributor.author	Brock, Friedemann
Author	dc.contributor.author	Iturriaga, Leonelo	es_CL
Author	dc.contributor.author	Ubilla, Pedro	es_CL
Admission date	dc.date.accessioned	2008-12-15T11:10:57Z
Available date	dc.date.available	2008-12-15T11:10:57Z
Publication date	dc.date.issued	2006-08-01
Cita de ítem	dc.identifier.citation	NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS Volume: 65 Issue: 3 Pages: 601-614 Published: AUG 1 2006	en
Identifier	dc.identifier.issn	0362-546X
Identifier	dc.identifier.uri	https://repositorio.uchile.cl/handle/2250/118763
Abstract	dc.description.abstract	We establish the existence of a positive solution for the following non-variational equation {-div(\|x\|(-2a)del u)=\|x\|(-2(a+1)+c) f(x,u,del u), in Omega u=0, on partial derivative Omega, where the non-linearity f (x,t,xi) belongs to a class of functions that are superlinear in the variable t and sublinear in the variable xi. For this purpose we used an idea of a recent work by De Figueiredo et al. [D. De Figueiredo, M. Girardi, M. Matzeu, Semilinear elliptic equations with dependence on the gradient via mountain-pass techniques, Diff. Integral Equ. (in press)] and we established a new regularity result for a class of Singular Elliptic Equations.	en
Lenguage	dc.language.iso	en	en
Publisher	dc.publisher	PERGAMON-ELSEVIER SCIENCE LTD	en
Keywords	dc.subject	KOHN-NIRENBERG INEQUALITIES	en
Título	dc.title	Semi-linear singular elliptic equations with dependence on the gradient	en
Document type	dc.type	Artículo de revista