THE DIRICHLET PROBLEM FOR A CLASS OF ANISOTROPIC SCHRÖDINGER-KIRCHHOFF-TYPE EQUATIONS WITH CRITICAL EXPONENT

Author:

Eddine Nabil Chems1ORCID,Nguyen Anh Tuan2,Ragusa Maria Alessandra3ORCID

Affiliation:

1. Department of Mathematics, Faculty of Sciences, Mohammed V University, P.O. Box 1014, Rabat, Morocco

2. Division of Applied Mathematics, Science and Technology Advanced Institute, Van Lang University, Ho Chi Minh, Vietnam; Faculty of Applied Technology, School of Technology, Van Lang University, Ho Chi Minh, Vietnam

3. Dipartimento di Matematica e Informatica, Università di Catania, 95125 Catania, Italy; Faculty of Fundamental Science, Industrial University of Ho Chi Minh City, Ho Chi Minh, Vietnam

Abstract

In this paper, our focus lies in addressing the Dirichlet problem associated with a specific class of critical anisotropic elliptic equations of Schrödinger-Kirchhoff type. These equations incorporate variable exponents and a real positive parameter. Our objective is to establish the existence of at least one solution to this problem.

Publisher

Vilnius Gediminas Technical University

Cited by 3 articles. 订阅此论文施引文献 订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献

1. Optimal control problem governed by a kind of Kirchhoff-type equation;Chaos, Solitons & Fractals;2024-10

2. Infinitely many sign-changing solutions for planar Schrödinger–Poisson system;Applicable Analysis;2024-07-18

3. Solutions to discrete nonlinear Kirchhoff–Choquard equations;Bulletin of the Malaysian Mathematical Sciences Society;2024-07-04

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