Local minimizers in spaces of symmetric functions and applications

Autor(es)

Iturriaga, Leonelo ^[1] ; dos Santos, Ederson Moreira ^[2] ; Ubilla, Pedro ^[3]

Afiliação do(s) autor(es)

^[1] Univ Tecn Federico Santa Maria, Dept Matemat, Valparaiso - Chile

^[2] Univ Sao Paulo, Inst Ciencias Matemat & Comp, BR-13560970 Sao Carlos, SP - Brazil

^[3] Univ Santiago Chile, Dept Matemat & CC, Santiago - Chile

• Tipo de documento: Artigo Científico
• Fonte: Journal of Mathematical Analysis and Applications; v. 429, n. 1, p. 27-56, SEP 1 2015.
• Citações Web of Science: 2

Resumo

We study H-1 versus C-1 local minimizers for functionals defined on spaces of symmetric functions, namely functions that are invariant by the action of some subgroups of O(N). These functionals, in many cases, are associated with some elliptic partial differential equations that may have supercritical growth. So we also prove some results on classical regularity for symmetric weak solutions for a general class of semilinear elliptic equations with possibly supercritical growth. We then apply these results to prove the existence of a large number of classical positive symmetric solutions to some concave-convex elliptic equations of Henon type. (C) 2015 Elsevier Inc. All rights reserved. (AU)

• Processo FAPESP: 10/19320-7 - Sistemas de equações elípticas de tipo hamiltoniano e equações elípticas de quarta ordem
• Beneficiário: Ederson Moreira dos Santos
• Modalidade de apoio: Auxílio à Pesquisa - Regular