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.
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页码：1 / 17
页数：17
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