Multiplicity of solutions for a biharmonic equation with subcritical or critical growth

dc.contributor	Universidade Federal do Pará (UFPA)
dc.contributor	Universidade Estadual Paulista (UNESP)
dc.date.accessioned	2022-04-29T07:14:15Z
dc.date.accessioned	2022-12-20T02:28:44Z
dc.date.available	2022-04-29T07:14:15Z
dc.date.available	2022-12-20T02:28:44Z
dc.date.created	2022-04-29T07:14:15Z
dc.date.issued	2013-01-01
dc.identifier	Bulletin of the Belgian Mathematical Society - Simon Stevin, v. 20, n. 3, p. 519-534, 2013.
dc.identifier	1370-1444
dc.identifier	http://hdl.handle.net/11449/227615
dc.identifier	10.36045/bbms/1378314513
dc.identifier	2-s2.0-84896359069
dc.identifier.uri	https://repositorioslatinoamericanos.uchile.cl/handle/2250/5407750
dc.description.abstract	We consider the fourth-order problem {ε4△2u + V(x)u = f(u) +γ \|U\|2..-2u inRN u ∈ H 2(RN), where ε > 0, N ≥ 5, V is a positive continuous potential, is a function with subcritical growth and γ ∈ {0,1}. We relate the number of solutions with the topology of the set where V attain its minimum values. We consider the subcritical case γ = 0 and the critical case γ = 1. In the proofs we apply Ljusternik-Schnirelmann theory.
dc.language	eng
dc.relation	Bulletin of the Belgian Mathematical Society - Simon Stevin
dc.source	Scopus
dc.subject	Biharmonic equations
dc.subject	Nontrivial solutions
dc.subject	Variational methods
dc.title	Multiplicity of solutions for a biharmonic equation with subcritical or critical growth
dc.type	Artículos de revistas