MULTIPLICITY OF MULTI-BUMP TYPE NODAL SOLUTIONS FOR A CLASS OF ELLIPTIC PROBLEMS IN R-N

Alves, Claudianor O.

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

MULTIPLICITY OF MULTI-BUMP TYPE NODAL SOLUTIONS FOR A CLASS OF ELLIPTIC PROBLEMS IN R-N

Author(s):	Alves, Claudianor O. ^[1] Total Authors: 1
Affiliation:	^[1] Univ Fed Campina Grande, Dept Matemat & Estatist, BR-58109970 Campina Grande, PB - Brazil Total Affiliations: 1
Document type:	Journal article
Source:	TOPOLOGICAL METHODS IN NONLINEAR ANALYSIS; v. 34, n. 2, p. 231-250, DEC 2009.
Web of Science Citations:	10
Abstract
In this paper, we establish existence and multiplicity of multibump type nodal solutions for the following class of problems -Delta u + (lambda V(x)+1)u = f(u), u > 0 in R(N), where N >= 1, lambda is an element of (0, infinity), f is a continuous function with subcritical growth and V: R(N) -> R is a continuous function verifying some hypotheses. (AU)

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