一种求解包含对称多极势的拟线性椭圆系统的变分方法

IF 0.7 Q3 MATHEMATICS, APPLIED

Differential Equations & Applications Pub Date : 2020-01-01 DOI:10.7153/dea-2020-12-23

A. Rashidi, M. Shekarbaigi

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引用次数: 0

摘要

．研究了一类包含多个临界Hardy-Sobolev指数和对称多极势的拟线性椭圆方程。利用变分方法和解析技术，研究了系统的最佳常数，建立了系统的(zk × SO (N−2))2不变解的存在性。

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A variational method for solving quasilinear elliptic systems involving symmetric multi-polar potentials

. In this paper, a system of quasilinear elliptic equations is investigated, which involves multiple critical Hardy-Sobolev exponents and symmetric multi-polar potentials. By employing the variational methods and analytic techniques, the relevant best constants are studied and the existence of ( Z k × SO ( N − 2 )) 2 -invariant solutions to the system is established.

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来源期刊

Differential Equations & Applications MATHEMATICS, APPLIED-

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