Concentration Phenomena in a Biharmonic Equation Involving the Critical Sobolev Exponent

Autor:	Abdelbaki Selmi
Rok vydání:	2006
Předmět:	010101 applied mathematics Sobolev space General Mathematics 010102 general mathematics Mathematical analysis Biharmonic equation Exponent Statistical and Nonlinear Physics 0101 mathematics 01 natural sciences Mathematics
Zdroj:	Advanced Nonlinear Studies. 6:591-616
ISSN:	2169-0375 1536-1365
DOI:	10.1515/ans-2006-0406
Popis:	In this paper, we consider the problem Δ2u = |u|8/(n-4)u + εf(x, u) in Ω, u = Δu = 0 on ∂Ω, where Ω is a bounded and smooth domain in ℝn, n ≥ 6, ε is a small positive parameter, and f is a smooth function. Our main purpose is to construct families of solutions which concentrate around some well defined points depending on f.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::daecd00f35c631063840c083852aad29 https://doi.org/10.1515/ans-2006-0406 Zobrazit plný text záznamu