On the Schr\"odinger-Poisson system with $(p,q)$-Laplacian

TL;DR

This paper investigates a Schr"odinger-Poisson system involving a $(p,q)$-Laplacian, introducing a novel combination of double phase operators and nonlocal terms, and establishes new existence results for solutions.

Contribution

It combines double phase operators with nonlocal terms in Schr"odinger-Poisson systems, providing a new existence theorem using fixed point theory.

Findings

Established existence of nontrivial solutions

Generalized previous results in the field

Introduced a novel analytical approach

Abstract

We study a class of Schr\"{o}dinger-Poisson systems with $(p,q)$-Laplacian. Using fixed point theory, we obtain a new existence result for nontrivial solutions. The main novelty of the paper is the combination of a double phase operator and the nonlocal term. Our results generalize some known results.