Ground state solutions for the asymptotically periodic Schrödinger-Poisson systems with $p$-Laplacian
Year: 2025
Type: preprint
Abstract: 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.
Source: arXiv (Cornell University)
Authors: Du, Yao, Fan, Linfeng
Language: English
Subfield: Applied Mathematics
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W7077973955
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