Existence results for variable-order fractional Kirchhoff equations with variable exponents

被引：0

作者：

Mazan, Hatim ^{[1
]}

Masmodi, Mohamed ^{[1
]}

机构：

[1] Ibn Tofail Univ, Fac Sci, Dept Math, Kenitra, Morocco

来源：

COMPLEX VARIABLES AND ELLIPTIC EQUATIONS | 2024年

关键词：

Kirchhoff equation; concave-convex term; fractional Sobolev spaces; variable orders and exponents; mountain pass theorem; Ekeland variational principle; MULTIPLICITY; SPACES;

D O I：

10.1080/17476933.2024.2416419

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

This study establishes the existence of two nontrivial weak solutions for a specific class of Kirchhoff-type equations. Utilizing the Mountain Pass Theorem and the Ekeland variational principle, alongside insights from fractional Sobolev spaces with variable orders and exponents, we provide a concise demonstration of our result.

引用

页数：17

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