The existence of ground state solutions for semi-linear degenerate Schrödinger equations with steep potential well
In this article, we study the following degenerated Schrödinger equations: −∆γu + λV(x)u = f(x, u) in RN, u ∈ Eλ , where λ > 0 is a parameter, ∆γ is a degenerate elliptic operator, the potential V(x) has a potential well with bottom and the nonlinearity f(x, u) is either super-linear or sub-linea...
Elmentve itt :
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| Dokumentumtípus: | Folyóirat |
| Megjelent: |
2022
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| Sorozat: | Electronic journal of qualitative theory of differential equations
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| Kulcsszavak: | Schrödinger-egyenlet |
| Tárgyszavak: | |
| doi: | 10.14232/ejqtde.2022.1.30 |
| Online Access: | http://acta.bibl.u-szeged.hu/76531 |
| Tartalmi kivonat: | In this article, we study the following degenerated Schrödinger equations: −∆γu + λV(x)u = f(x, u) in RN, u ∈ Eλ , where λ > 0 is a parameter, ∆γ is a degenerate elliptic operator, the potential V(x) has a potential well with bottom and the nonlinearity f(x, u) is either super-linear or sub-linear at infinity in u. The existence of ground state solution be obtained by using the variational methods. |
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| Terjedelem/Fizikai jellemzők: | 15 |
| ISSN: | 1417-3875 |