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...
Elmentve itt :
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| Dokumentumtípus: | Folyóirat |
| Megjelent: |
2025
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| Sorozat: | Electronic journal of qualitative theory of differential equations
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| Kulcsszavak: | Bifurkáció, Schrödinger-egyenlet |
| Tárgyszavak: | |
| doi: | 10.14232/ejqtde.2025.1.22 |
| Online Access: | http://acta.bibl.u-szeged.hu/88902 |
| Tartalmi kivonat: | 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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| Terjedelem/Fizikai jellemzők: | 16 |
| ISSN: | 1417-3875 |