Renormalized Solutions for the Non-local Equations in Fractional Musielak-Sobolev Spaces

被引：0
|
作者：
Li, Ying [1 ]
Zhang, Chao [2 ,3 ]
机构：
[1] Harbin Inst Technol, Sch Math, Harbin 150001, Peoples R China
[2] Harbin Inst Technol, Sch Math, Harbin 150001, Peoples R China
[3] Harbin Inst Technol, Inst Adv Study Math, Harbin 150001, Peoples R China
来源：
JOURNAL OF GEOMETRIC ANALYSIS | 2024年 / 34卷 / 12期
基金：
中国国家自然科学基金;
关键词：
Renormalized solutions; Existence; Uniqueness; L-1-data; Fractional Musielak-Sobolev spaces; PARABOLIC EQUATIONS; ELLIPTIC PROBLEMS; ORLICZ SPACES; EXISTENCE;
D O I：
10.1007/s12220-024-01835-y
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We consider the non-local equations with non-negative L-1-data in the fractional Musielak-Sobolev spaces. Utilizing approximation and energy methods, we establish the existence and uniqueness of non-negative renormalized solutions for such problems. The operators discussed in this work include the fractional Orlicz operators with variable exponents, the fractional double-phase operators with variable exponents, and the anisotropic fractional p-Laplacian operators, among others.
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页数：24
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