ON SOME ELLIPTIC EQUATION IN THE WHOLE EUCLIDEAN SPACE R2 WITH NONLINEARITIES HAVING NEW EXPONENTIAL GROWTH CONDITION

被引：8
作者：
Aouaoui, Sami [1 ]
Jlel, Rahma [2 ]
机构：
[1] Inst Super Math Appl & Informat Kairouan, Ave Assad Iben Fourat, Kairouan 3100, Tunisia
[2] Fac Sci Monastir, Ave Environm, Monastir 5019, Tunisia
来源：
COMMUNICATIONS ON PURE AND APPLIED ANALYSIS | 2020年 / 19卷 / 10期
关键词：
Trudinger-Moser inequality; doubly exponential; radial function; ground state; MOSER TYPE INEQUALITIES; WEIGHTED SOBOLEV SPACES; EXISTENCE; IMBEDDINGS;
D O I：
10.3934/cpaa.2020211
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we study some elliptic equation defined in R-2 and involving a nonlinearity with new exponential growth condition including the doubly exponential growth at infinity. For that aim, we start by extending some new Trudinger-Moser type inequalities defined on the unit ball of different classes of weighted Sobolev spaces established by B. Ruf and M. Calanchi to the whole space R-2.
引用
收藏
页码：4771 / 4796
页数：26
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