On a perturbed Yamabe problem with mixed boundary conditions

被引：0

作者：

Alghanemi, Azeb ^{[1
]}

Ben Mahmoud, Randa ^{[2
]}

Chtioui, Hichem ^{[2
]}

机构：

[1] King AbdulAziz Univ, Dept Math, Jeddah, Saudi Arabia

[2] Fac Sci Sfax, Dept Math, Sfax 3018, Tunisia

来源：

JOURNAL OF ELLIPTIC AND PARABOLIC EQUATIONS | 2025年 / 11卷 / 01期

关键词：

Laplace operator; Yamabe problem; Variational calculus; Lack of compactness; Topological methods; SCALAR-CURVATURE;

D O I：

10.1007/s41808-025-00329-4

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We consider a class of critical nonlinear Laplace equations which are perturbations of the Yamabe problem on bounded domains with mixed Dirichlet-Neumann boundary conditions. We study the lack of compactness of the associated variational problems and we prove existence of solutions.

引用

页码：397 / 431

页数：35

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