On a Sobolev-type inequality and its minimizers

被引：0
|
作者：
de Oliveira, Jose Francisco [1 ]
Silva, Jeferson [2 ]
机构：
[1] Univ Fed Piaui, Dept Math, BR-64049550 Teresina, PI, Brazil
[2] Fed Univ Delta Parnaiba, Dept Math, BR-64202020 Parnaiba, PI, Brazil
来源：
ANALYSIS AND APPLICATIONS | 2024年 / 22卷 / 08期
关键词：
Sobolev-type inequality; minimizers; critical exponents; elliptic equations; SPACES;
D O I：
10.1142/S0219530524500210
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
Critical Sobolev-type inequality for a class of weighted Sobolev spaces on the entire space is established. We also investigate the existence of extremal function for the associated variational problem. As an application, we prove the existence of a weak solution for a general class of critical semilinear elliptic equations related to the polyharmonic operator.
引用
收藏
页码：1417 / 1446
页数：30
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