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

Pub Date : 2023-08-31 DOI:10.58997/ejde.2023.54
M. E. O. E. El Mokhtar
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Abstract

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
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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
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。
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