Quasilinear Schrödinger equations with general sublinear conditions
In this paper, we study the quasilinear Schrödinger equations −∆u + V(x)u + ∆(u 2 )u = f(x, u), ∀x ∈ R N, where V ∈ C(RN; R) may change sign and f is only locally defined for |u| small. Under some new assumptions on V and f , we show that the above equation has a sequence of solutions converging to...
Elmentve itt :
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| Dokumentumtípus: | Folyóirat |
| Megjelent: |
2024
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| Sorozat: | Electronic journal of qualitative theory of differential equations
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| Kulcsszavak: | Schrödinger-egyenlet - kvázilineáris |
| Tárgyszavak: | |
| doi: | 10.14232/ejqtde.2024.1.73 |
| Online Access: | http://acta.bibl.u-szeged.hu/88875 |
| Tartalmi kivonat: | In this paper, we study the quasilinear Schrödinger equations −∆u + V(x)u + ∆(u 2 )u = f(x, u), ∀x ∈ R N, where V ∈ C(RN; R) may change sign and f is only locally defined for |u| small. Under some new assumptions on V and f , we show that the above equation has a sequence of solutions converging to zero. Some recent results in the literature are generalized and significantly improved and some examples are also given to illustrate our main theoretical results. |
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| Terjedelem/Fizikai jellemzők: | 19 |
| ISSN: | 1417-3875 |