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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.)

Existence of a ground state solution for a nonlinear scalar field equation with critical growth

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Author(s):
Alves, Claudianor O. [1] ; Souto, Marco A. S. [1] ; Montenegro, Marcelo [2]
Total Authors: 3
Affiliation:
[1] Univ Fed Campina Grande, Dept Matemat & Estat, BR-58429000 Campina Grande, PB - Brazil
[2] Univ Estadual Campinas, Dept Matemat, IMECC, BR-13083859 Campinas, SP - Brazil
Total Affiliations: 2
Document type: Journal article
Source: CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS; v. 43, n. 3-4, p. 537-554, MAR 2012.
Web of Science Citations: 40
Abstract

In the present paper, we establish the existence of Ground State Solutions for some class of Elliptic problems with Critical Growth in R(N) for N >= 2. Our results complete the study made in Berestycki and Lions (Arch Rat Mech Anal 82:313-346, 1983) and Berestycki, GallouA << t and Kavian (C R Acad Sci Paris Ser I Math 297:307-310, 1984), in the sense that, in those papers only the subcritical growth was considered. (AU)

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