On log-weighted Adams' inequalities defined on RN and applications

被引：0

作者：

Aouaoui, Sami ^{[1
]}

Jlel, Rahma ^{[2
]}

机构：

[1] Uniivers Kairouan, Inst Super Math Appl & Informat Kairouan, Ave Assad Iben Fourat, Kairouan 3100, Tunisia

[2] Univ Monastir, Fac Sci Monastir, Ave Environm, Monastir, Tunisia

来源：

COMMUNICATIONS IN CONTEMPORARY MATHEMATICS | 2024年

关键词：

Adams' inequality; unbounded domain; logarithmic weights; doubly exponential; radial functions; elliptic equation; TRUDINGER-MOSER INEQUALITY; LOGARITHMIC WEIGHTS; SOBOLEV SPACES; UNBOUNDED-DOMAINS; EQUATION;

D O I：

10.1142/S0219199724500470

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we establish some new functional inequalities of Adams' type for radial Sobolev spaces of second order with logarithmic weights. The sharpness of these inequalities is also discussed. These inequalities (which can be singular) are new and complete the existing literature concerning this topic of research. Finally, we will end this work with a concrete application of these new inequalities to study some singular elliptic nonlinear equations involving new type of exponential growth condition at infinity.

引用

页数：53

共 45 条

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