Chong Dashuang and Zhang Xian and Huang Chen: Multiple small solutions for Schrödinger equations involving the p-Laplacian and positive quasilinear term. (2020)
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Abstract
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.
| Item Type: | Journal |
|---|---|
| Publication full: | Electronic journal of qualitative theory of differential equations |
| Date: | 2020 |
| Number: | 31 |
| ISSN: | 1417-3875 |
| Uncontrolled Keywords: | Schrödinger-egyenlet, Differenciálegyenlet |
| Additional Information: | Bibliogr.: p. 14-16. ; összefoglalás angol nyelven |
| Date Deposited: | 2020. Jun. 08. 09:07 |
| Last Modified: | 2021. Oct. 20. 13:52 |
| URI: | http://acta.bibl.u-szeged.hu/id/eprint/69535 |
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