Problem With Critical Sobolev Exponent and With Potential on SN

被引：0

作者：

Refai, Walid ^{[1
]}

Yazidi, Habib ^{[2
]}

机构：

[1] Jazan Univ, Coll Addair, Dept Math, Jazan, Saudi Arabia

[2] Univ Tunis, Ecole Natl Super Ingn Tunis, 5 Ave Taha Hssine, Tunis 1008, Tunisia

来源：

JOURNAL OF APPLIED MATHEMATICS | 2024年 / 2024卷

关键词：

best Sobolev constant; critical Sobolev exponent; geodesic ball; WEIGHT;

D O I：

10.1155/2024/3495135

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We consider the equation -div(S)(N)(q(x)del(n)(S)u) = u(2*-1), u > 0 in D', u = 0 on D ', where D ' is a geodesic ball with radius theta(1), centered at the north pole, on S-N, N >= 4, and q is a positive continuous function. We prove the existence of solutions that depends only on the behavior of the potential q near its minima.

引用

页数：5

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