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

Autor(es)

Alves, Claudianor O. ^[1] ; Souto, Marco A. S. ^[1] ; Montenegro, Marcelo ^[2]

Afiliação do(s) autor(es)

^[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

• Tipo de documento: Artigo Científico
• Fonte: CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS; v. 43, n. 3-4, p. 537-554, MAR 2012.
• Citações Web of Science: 40

Resumo

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)

• Processo FAPESP: 09/14218-2 - Equações elípticas superlineares
• Beneficiário: Sergio Henrique Monari Soares
• Modalidade de apoio: Auxílio à Pesquisa - Pesquisador Visitante - Brasil