Existence of solution for two classes of Schrödinger equations in RN with magnetic field and zero mass
In this paper, we consider the existence of a nontrivial solution for the following Schrödinger equations with a magnetic potential A −∆Au = K(x)f(|u| 2 )u, in R N where N > 3, K is a nonnegative function verifying two kinds of conditions and f is continuous with subcritical growth. We discuss th...
Elmentve itt :
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| Dokumentumtípus: | Folyóirat |
| Megjelent: |
2020
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| Sorozat: | Electronic journal of qualitative theory of differential equations
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| Kulcsszavak: | Schrödinger-egyenlet, Differenciaegyenlet |
| doi: | 10.14232/ejqtde.2020.1.7 |
| Online Access: | http://acta.bibl.u-szeged.hu/69511 |
| Tartalmi kivonat: | In this paper, we consider the existence of a nontrivial solution for the following Schrödinger equations with a magnetic potential A −∆Au = K(x)f(|u| 2 )u, in R N where N > 3, K is a nonnegative function verifying two kinds of conditions and f is continuous with subcritical growth. We discuss the above equation with K asymptotically periodic. |
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| ISSN: | 1417-3875 |