Existence and multiplicity for fractional differential equations with m(ξ)-Kirchhoff type-equation

被引：0

作者：

Feitosa, Everson F. S. ^{[1
]}

Sousa, J. Vanterler da C. ^{[2
]}

Moreira, S. I. ^{[3
]}

Costa, Gustavo S. A. ^{[4
]}

机构：

[1] State Univ Campinas UNICAMP, Dept Appl Math, Campinas, SP, Brazil

[2] Univ Estadual Maranhao, Dept Math & Informat, Aerosp Engn, PPGEA, BR-65054 Sao Luis, MA, Brazil

[3] Univ Estadual Maranhao, Dept Math & Informat, Sao Luis, Maranhao, Brazil

[4] Univ Fed Maranhao, BR-65080805 Sao Luis, MA, Brazil

来源：

COMPUTATIONAL & APPLIED MATHEMATICS | 2025年 / 44卷 / 01期

关键词：

Fractional differential equations; m(xi)-Kirchhoff equation; Existence; Multiplicity; KIRCHHOFF-TYPE PROBLEM; P-LAPLACIAN; UNIQUENESS;

D O I：

10.1007/s40314-024-02980-4

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we first investigate the Palais-Smale compactness condition of the energy functional associated to a m(xi)-Kirchhoff-type operator in the appropriate fractional space setting. In this sense, using the Mountain Pass Theorem and the Fountain Theorem, we investigate the existence and multiplicity of weak solutions for a new class of fractional differential equations with m(xi)-Kirchhoff-type equation.

引用

页数：24

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