Work

Existence of solutions for fractional Klein–Gordon–Maxwell equations involving Hardy–Sobolev critical exponents

Year: 2025

Type: article

Abstract: This paper is dedicated to investigating the existence of solutions for fractional Klein–Gordon–Maxwell equations involving Hardy–Sobolev critical exponents. By means of the Mountain Pass Theorem, infinitely many critical points and the least energy solution with positive energy for the subcritical system are obtained. Then we prove that there are at least two different solutions for the critical system by the Ekeland variational principle.

Source: Rendiconti Lincei Matematica e Applicazioni

DOI: 10.4171/rlm/1058

Authors: Zhenyu Guo, Xin Zhang

Institution: Liaoning Normal University

Language: English

Topic: Nonlinear Partial Differential Equations

Subfield: Applied Mathematics

Field: Mathematics

Domain: Physical Sciences

Open Access status: diamond

OpenAlex ID: W4414094754

FWCI:

Cites:

Cited by:

Related to: 10