一类变指数双非局部kirchhoff型问题基态解的存在性

Q1 Mathematics

Partial Differential Equations in Applied Mathematics Pub Date : 2025-05-08 DOI:10.1016/j.padiff.2025.101201

Hind Bouaam , Mohamed El Ouaarabi , Said Melliani , Maria Alessandra Ragusa

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引用次数: 0

摘要

本文的目的是研究紧黎曼流形上双非局部变指数kirchhoff型问题的基态解的存在性，即最小能量解。利用最小化论证结合定量变形引理和browwer度理论，我们建立了所考虑问题解的存在性。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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Existence of ground state solutions for a class of bi-non-local Kirchhoff-type problems with variable exponents

Our goal in this work is to investigate the existence of ground state solutions, i.e., solutions with the least energy, for a bi-nonlocal Kirchhoff-type problem with variable exponents on compact Riemannian manifolds. Using a minimization argument combined with a quantitative deformation lemma and Brouwer degree theory, we establish the existence of solutions for the problem under consideration.

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