Existence and multiplicity of solutions for a Dirichlet problem in fractional Orlicz–Sobolev spaces

被引：0
作者：
Pablo Ochoa
Analía Silva
Maria José Suarez Marziani
机构：
[1] Universidad Nacional de Cuyo,Departamento de Matemática, FCFMyN
[2] CONICET,Instituto de Matemática Aplicada San luis (IMASL)
[3] Universidad J. A. Maza,undefined
[4] Universidad Nacional de San Luis and Instituto de Matemática Aplicada San Luis (IMASL),undefined
[5] CONICET-UNSL,undefined
[6] Universidad Nacional de San Luis,undefined
[7] CONICET,undefined
来源：
Annali di Matematica Pura ed Applicata (1923 -) | 2024年 / 203卷
关键词：
Fractional Orlicz–Sobolev spaces; Existence of weak solutions; Critical point theory; 35J62; 46E30; 35D30; 58E05;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
In this paper, we first prove the existence of solutions to Dirichlet problems involving the fractional g-Laplacian operator and lower order terms by appealing to sub- and supersolution methods. Moreover, we also state the existence of extremal solutions. Afterward, and under additional assumptions on the lower order structure, we establish by variational techniques the existence of multiple solutions: one positive, one negative and one with non-constant sign.
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页码：21 / 47
页数：26
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