Existence of solutions for a class of elliptic equations in RN with vanishing potentials

Alves, Claudianor O.; Souto, Marco A. S.

Advanced search

Search - Use quotation marks to get a more specific result

Index

Field of knowledge

Start date

Betweenand

(Reference retrieved automatically from Web of Science through information on FAPESP grant and its corresponding number as mentioned in the publication by the authors.)

Existence of solutions for a class of elliptic equations in RN with vanishing potentials

Full text
Author(s):	Alves, Claudianor O. ^[1] ; Souto, Marco A. S. ^[1] Total Authors: 2
Affiliation:	^[1] Univ Fed Campina Grande, Unidade Acad Matemat Estatist, BR-58429900 Campina Grande, PB - Brazil Total Affiliations: 1
Document type:	Journal article
Source:	Journal of Differential Equations; v. 252, n. 10, p. 5555-5568, MAY 15 2012.
Web of Science Citations:	20
Abstract
In this paper we investigate the existence of positive solution for the following class of elliptic equation -Delta u + V(x)u = f (u) in R-N, where f has a subcritical growth and V is a nonnegative potential, which can vanish at infinity, that is, V(x) -> 0 as vertical bar x vertical bar -> infinity, or shortly, V(infinity)= 0. (C) 2012 Elsevier Inc. All rights reserved. (AU)

FAPESP's process:	09/14218-2 - Superlinear elliptic equations
Grantee:	Sergio Henrique Monari Soares
Support Opportunities:	Research Grants - Visiting Researcher Grant - Brazil

Short URL