The Brezis–Nirenberg problem for systems involving divergence-form operators

被引：0

作者：

Burton Brown

Mathew Gluck

Vince Guingona

Thomas Hammons

Miriam Parnes

Sean Pooley

Avery Schweitzer

机构：

[1] American Public University,

[2] Human Resources office,undefined

[3] Southern Illinois University,undefined

[4] Towson University,undefined

[5] University of Illinois,undefined

[6] Chicago,undefined

[7] The University of Mississippi,undefined

[8] North Carolina State University,undefined

来源：

Nonlinear Differential Equations and Applications NoDEA | 2023年 / 30卷

关键词：

Semilinear elliptic system; Critical exponent; Positive solution; 35J47; 35J61;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

We study a system of nonlinear elliptic partial differential equations involving divergence-form operators. The problem under consideration is a natural generalization of the classical Brezis–Nirenberg problem. We find conditions on the domain, the coupling coefficients and the coefficients of the differential operator under which positive solutions are guaranteed to exist and conditions on these objects under which no positive solution exists.

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