Ground state solutions for the asymptotically periodic Schrödinger-Poisson systems with $p$-Laplacian
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arXiv
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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866912552032665600 |
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| author | Du, Yao Fan, Linfeng |
| author_facet | Du, Yao Fan, Linfeng |
| contents | In this paper we study the existence of ground state solutions for the asymptotically periodic Schrödinger-Poisson systems which are coupled by a Schrödinger equation of $p$-Laplacian and a Poisson equation of $q$-Laplacian. The method relies on a variational approach and the case of the nonlinearity exhibits a critical growth is also considered. Some results in the literature are extended. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2508_17612 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Ground state solutions for the asymptotically periodic Schrödinger-Poisson systems with $p$-Laplacian Du, Yao Fan, Linfeng Analysis of PDEs In this paper we study the existence of ground state solutions for the asymptotically periodic Schrödinger-Poisson systems which are coupled by a Schrödinger equation of $p$-Laplacian and a Poisson equation of $q$-Laplacian. The method relies on a variational approach and the case of the nonlinearity exhibits a critical growth is also considered. Some results in the literature are extended. |
| title | Ground state solutions for the asymptotically periodic Schrödinger-Poisson systems with $p$-Laplacian |
| topic | Analysis of PDEs |
| url | https://arxiv.org/abs/2508.17612 |