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Research Article | Open Access

Existence for critical Schrödinger–Bopp–Podolsky system with p-Laplacian in R 3

Liteng Liu, Deli Zhang, Yueqiang Song( )
College of Mathematics, Changchun Normal University, Changchun 130032, China
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Abstract

We intend to study a class of the critical Schrödinger–Bopp–Podolsky system with p-Laplacian in R 3 . Under different perturbation terms, the existence and multiplicity of nontrivial solutions are obtained by using critical point theorem. Considering the influence of the p-Laplacian operator and critical and nonlocal terms, which cause the loss of the compactness condition, we attempt to address this difficulty by using the concentration-compactness principle and some clever analysis.

Keywords

Schrödinger–Bopp–Podolsky systemcritical growthp-Laplacianchoquard nonlinearityvariational methodsconcentration-compactness principles

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Electronic Research Archive
Volume 34 Issue 3,
March 2026
Pages 1434-1447
DOI: 10.3934/era.2026065

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Cite this article:
Liu L, Zhang D, Song Y. Existence for critical Schrödinger–Bopp–Podolsky system with p-Laplacian in R 3 . Electronic Research Archive, 2026, 34(3): 1434-1447. https://doi.org/10.3934/era.2026065

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Received: 08 December 2025
Revised: 06 February 2026
Accepted: 09 February 2026
Published: 11 February 2026
©2026 the Author(s), licensee AIMS Press.

This is an open access article distributed under the terms of the Creative Commons Attribution License (http://creativecommons.org/licenses/by/4.0)