Some remarks on embedding of weighted Sobolev spaces

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

卷:475

Article

Wang, Xiaohuan^1,2  Zhang, Jihui¹ 

[1] Nanjing Normal Univ, Inst Math, Sch Math Sci, Nanjing 210023, Jiangsu, Peoples R China

[2] Henan Univ, Sch Math & Stat, Kaifeng 475001, Henan, Peoples R China

关键词: Embedding theorem;    Fourth order operator equations;    Navier boundary value problems;   

DOI  :  10.1016/j.jmaa.2019.03.012

来源: Elsevier

【 摘 要 】

In this paper, we generalize the well-known Caffarelli-Kohn-Nirenberg inequality to the fourth order case. Then, by using such embeddings, we obtain the existence of positive solutions of Navier boundary value problems of a Weighted fourth order elliptic equation. (C) 2019 Elsevier Inc. All rights reserved.

【 授权许可】

Free