Bifurcation in two parameters for a quasilinear Schrödinger equation

This paper deals with existence and multiplicity of positive solutions for the quasilinear Schrödinger equation −∆u − λm(x)u∆(u 2 ) = f(µ, x, u) in Ω, u = 0 on ∂Ω. where Ω is a bounded open domain in RN with smooth boundary and m is a bounded non negative continuous function. Under suitable assumpti...

Teljes leírás

Elmentve itt :
Bibliográfiai részletek
Szerzők: Arcoya David
Carmona José
Martínez-Teruel Miguel
Dokumentumtípus: Folyóirat
Megjelent: 2025
Sorozat:Electronic journal of qualitative theory of differential equations
Kulcsszavak:Bifurkáció, Schrödinger-egyenlet
Tárgyszavak:
doi:10.14232/ejqtde.2025.1.22

Online Access:http://acta.bibl.u-szeged.hu/88902
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520 3 |a This paper deals with existence and multiplicity of positive solutions for the quasilinear Schrödinger equation −∆u − λm(x)u∆(u 2 ) = f(µ, x, u) in Ω, u = 0 on ∂Ω. where Ω is a bounded open domain in RN with smooth boundary and m is a bounded non negative continuous function. Under suitable assumptions on the asymptotically linear f , we use bifurcation theory to analyze the set of positive solutions. 
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700 0 2 |a Martínez-Teruel Miguel  |e aut 
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