Nonradial Solutions for the Henon Equation Close to the Threshold
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Data
2019-11-01
Autores
Figueroa, Pablo
Neves, Sergio L. N. [UNESP]
Título da Revista
ISSN da Revista
Título de Volume
Editor
Walter De Gruyter Gmbh
Resumo
We consider the Henon problem {-Delta u = vertical bar x vertical bar(alpha)u(N+2+2 alpha/N-2-epsilon )in B-1, u > 0 in B-1, u = 0 on partial derivative B-1, where B-1 is the unit ball in R-N and N >= 3. For epsilon > 0 small enough, we use alpha as a parameter and prove the existence of a branch of nonradial solutions that bifurcates from the radial one when a is close to an even positive integer.
Descrição
Palavras-chave
Bifurcation, Henon Problem, Nonradial Solutions
Como citar
Advanced Nonlinear Studies. Berlin: Walter De Gruyter Gmbh, v. 19, n. 4, p. 757-770, 2019.