Multiple small solutions for Schrödinger equations involving the p-Laplacian and positive quasilinear term
We consider the multiplicity of solutions of a class of quasilinear Schrödinger equations involving the p-Laplacian: −∆pu + V(x)|u| p−2u + ∆p(u 2 )u = K(x)f(x, u), x ∈ R N, where ∆pu = div(|∇u| p−2∇u), 1 < p < N, N ≥ 3, V, K belong to C(RN) and f is an odd continuous function without any growt...
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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, Differenciálegyenlet |
| Online Access: | http://acta.bibl.u-szeged.hu/69535 |
| LEADER | 01296nas a2200205 i 4500 | ||
|---|---|---|---|
| 001 | acta69535 | ||
| 005 | 20260224081030.0 | ||
| 008 | 200608s2020 hu o 000 hun d | ||
| 022 | |a 1417-3875 | ||
| 040 | |a SZTE Egyetemi Kiadványok Repozitórium |b hun | ||
| 041 | |a hun | ||
| 100 | 1 | |a Chong Dashuang | |
| 245 | 1 | 0 | |a Multiple small solutions for Schrödinger equations involving the p-Laplacian and positive quasilinear term |h [elektronikus dokumentum] / |c Chong Dashuang |
| 260 | |c 2020 | ||
| 490 | 0 | |a Electronic journal of qualitative theory of differential equations | |
| 520 | 3 | |a We consider the multiplicity of solutions of a class of quasilinear Schrödinger equations involving the p-Laplacian: −∆pu + V(x)|u| p−2u + ∆p(u 2 )u = K(x)f(x, u), x ∈ R N, where ∆pu = div(|∇u| p−2∇u), 1 < p < N, N ≥ 3, V, K belong to C(RN) and f is an odd continuous function without any growth restrictions at large. Our method is based on a direct modification of the indefinite variational problem to a definite one. Even for the case p = 2, the approach also yields new multiplicity results. | |
| 695 | |a Schrödinger-egyenlet, Differenciálegyenlet | ||
| 700 | 0 | 1 | |a Zhang Xian |e aut |
| 700 | 0 | 1 | |a Huang Chen |e aut |
| 856 | 4 | 0 | |u http://acta.bibl.u-szeged.hu/69535/1/ejqtde_2020_031.pdf |z Dokumentum-elérés |