EXISTENCE AND MULTIPLICITY OF SOLUTIONS FOR FRACTIONAL DIFFERENTIAL EQUATIONS WITH p-LAPLACIAN AT RESONANCE

被引：1

作者：

Sousa, Jose vanterler da c. ^{[1
]}

Pigossi, Mariane ^{[2
]}

Nyamoradi, Nemat ^{[3
]}

机构：

[1] Univ Fed ABC, Ctr Matemat Computacao & Cognicao, UFABC, Brazi, SP, Brazil

[2] Univ Fed Espirito St, Dept Matemat, UFES, Ave Fernando Ferrari 514, BR-29075910 Vitoria, ES, Brazil

[3] Razi Univ, Dept Math, Fac Sci, Kermanshah 67149, Iran

来源：

ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS | 2024年 / 2024卷 / 34期

关键词：

Fractional differential equations; p-Laplacian equation; resonance; existence and multiplicity; BOUNDARY-VALUE-PROBLEMS; NONTRIVIAL SOLUTIONS; DIRICHLET PROBLEMS; SOLVABILITY;

D O I：

10.58997/ejde.2024.34

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this article, we investigate the existence and multiplicity of solutions for a fractional differential equations with p-Laplacian equation at resonance in the psi-fractional space H alpha,beta ; psi p . In addition, we show that the energy functional satisfies the Palais-Smale condition.

引用

页码：1 / 17

页数：17

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