具有奇异非线性和临界Caffarelli Kohn Nirenberg指数的奇异椭圆问题解的存在性

IF 0.8 4区数学 Q2 MATHEMATICS

Electronic Journal of Differential Equations Pub Date : 2023-08-31 DOI:10.58997/ejde.2023.54

M. E. O. E. El Mokhtar

引用次数: 0

摘要

在本文中，我们考虑了一类具有奇异非线性和临界Caffarelli-Kohn-Nirenberg指数的奇异椭圆型问题。利用变分方法和palais - small条件，证明了至少两个非平凡解的存在性。结果主要取决于参数\(a,b,N,\beta,\gamma,\lambda,\mu\) .更多信息请参见https://ejde.math.txstate.edu/Volumes/2023/54/abstr.html

本文章由计算机程序翻译，如有差异，请以英文原文为准。

查看原文本刊更多论文

Existence of solutions for singular elliptic problems with singular nonlinearities and critical Caffarelli-Kohn-Nirenberg exponent

In this article, we consider a singular elliptic problem with singular nonlinearities and critical Caffarelli-Kohn-Nirenberg exponent. By using variational methods and Palais-Smale condition, we show the existence of at least two nontrivial solutions. The result depends crucially on the parameters \(a,b,N,\beta,\gamma,\lambda,\mu\). For more information see https://ejde.math.txstate.edu/Volumes/2023/54/abstr.html

求助全文

通过发布文献求助，成功后即可免费获取论文全文。去求助

来源期刊

Electronic Journal of Differential Equations MATHEMATICS, APPLIED-MATHEMATICS

CiteScore

1.50

自引率

14.30%

发文量

审稿时长

3 months

期刊介绍： All topics on differential equations and their applications (ODEs, PDEs, integral equations, delay equations, functional differential equations, etc.) will be considered for publication in Electronic Journal of Differential Equations.