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The dirichlet problem for a class of anisotropic Schrödinger-Kirchhoff-type equations with critical exponent

    Nabil Chems Eddine   Affiliation
    ; Anh Tuan Nguyen Affiliation
    ; Maria Alessandra Ragusa   Affiliation

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.

Keyword : Schrodinger-Kirchhoff-type problems, Dirichlet boundary conditions, p(x)-Laplacian, Anisotropic variable exponent Sobolev spaces, Concentration-compactness principle, parameter

How to Cite
Chems Eddine, N., Nguyen, A. T., & Ragusa, M. A. (2024). The dirichlet problem for a class of anisotropic Schrödinger-Kirchhoff-type equations with critical exponent. Mathematical Modelling and Analysis, 29(2), 254–267. https://doi.org/10.3846/mma.2024.19006
Published in Issue
Mar 26, 2024
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