Work

Ground state solution for subcritical Schrödinger-Possion system with irregular potentials

Year: 2026

Type: article

Abstract: This paper is concerned with the existence of ground state solution for a class of subcritical Schrödinger-Possion systems with irregular potentials. The irregular potentials cause difficulty in recovering the compactness of Palais-Smale sequences by classical method. To conquer this obstacle, with the help of weak ∗ -compactness method, we obtain a new weak ∗ -type splitting lemma, by which we utilize interaction effects among irregular potentials to generate the compactness of (PS) sequences. Some new compactness conditions are introduced to obtain ground state solutions.

Source: Boundary Value Problems

DOI: 10.1186/s13661-026-02343-4

Authors: Liang Zhang, Yi Chen, Jian Yang, Minyuan He

Institutions: Qilu Normal University, China University of Mining and Technology, University of Jinan, Xiangnan University

Language: English

Topic: Nonlinear Partial Differential Equations

Subfield: Applied Mathematics

Field: Mathematics

Domain: Physical Sciences

Open Access status: gold

Estimated APC paid: $1,890

Funder: Natural Science Foundation of Shandong Province