具有多个临界非线性的拟线性耦合系统解的存在性

IF 0.3 Q4 MATHEMATICS, APPLIED

Journal of Applied Mathematics Statistics and Informatics Pub Date : 2022-01-01 DOI:10.22457/jmi.v23a03212

Ying Yang, Z. Deng

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引用次数: 0

摘要

研究了rnn中一类包含临界Hardy-Littlewood-Sobolev非线性和临界Sobolev非线性的p- laplace拟线性椭圆系统。基于Hardy-Littlewood-Sobolev不等式和变分方法，我们得到了相应最佳常数的可达性和非平凡解的存在性。

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Existence of Solutions for Quasilinear Coupled Systemswith Multiple Critical Nonlinearities

This paper is dedicated to investigating a quasilinear elliptic systemwith p- Laplacian in R N , which involves critical Hardy-Littlewood-Sobolev nonlinearities and critical Sobolev nonlinearities. Based upon the Hardy-Littlewood-Sobolev inequality and variational methods, we obtain the attainability of the corresponding best constants and the existence of nontrivial solutions.

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来源期刊

Journal of Applied Mathematics Statistics and Informatics MATHEMATICS, APPLIED-

自引率

0.00%

发文量

审稿时长

20 weeks