Infinitely many solutions for $(p,q)$-Schrödinger-Poisson system with concave and convex nonlinearities

Q: What type of study is this?

This is a Quantitative Study study.

Yao Du; Jiahao Peng

doi:10.48550/arxiv.2509.15903

September 19, 2025Open Access

Infinitely many solutions for $(p,q)$-Schrödinger-Poisson system with concave and convex nonlinearities

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Key Points

The system shows infinitely many solutions due to the interplay between concave and convex nonlinearities.
Key findings reveal that both p-Laplacian and q-Laplacian play crucial roles in defining the solution set.
Analytical methods are applied to establish the existence of solutions in quasilinear settings, showcasing mathematical richness.
This work highlights the potential for new insights in variational methods and nonlinear analysis.

Implication

This paper reveals infinite solutions for quasilinear Schrödinger-Poisson systems, indicating the richness of their nonlinear structure.

Abstract

In this paper, we obtain infinitely many solutions for a class of quasilinear Schrödinger-Poisson system which is coupled by a Schrödinger equation of p-Laplacian and a Poisson equation of q-Laplacian, involving with concave and convex nonlinearities and indefinite weighted functions.

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Cite This Study

Du et al. (2025) studied this question.

synapsesocial.com/papers/68e040eda99c246f578b3256 https://doi.org/10.48550/arxiv.2509.15903

View Full Paper

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Infinitely many solutions for $(p,q)$-Schrödinger-Poisson system with concave and convex nonlinearities

Key Points

Implication

Abstract

Discussion

Cite This Study

Infinitely many solutions for $(p,q)$-Schrödinger-Poisson system with concave and convex nonlinearities

Key Points

Implication

Abstract

Discussion

Cite This Study

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