Analysis of a free boundary problem on stratified Lie group

被引：0
|
作者：
Bensid, Sabri [1 ]
机构：
[1] Univ Tlemcen, Fac Sci, Dept Math, Lab Anal Nonlineaire & Math Appl, BP 119, Tilimsen 13000, Algeria
来源：
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2025年 / 549卷 / 01期
关键词：
Sub-Laplacian; Startified Lie group; Free boundary; REGULARITY; EXISTENCE;
D O I：
10.1016/j.jmaa.2025.129438
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We present a variational framework for studying the existence of solutions of a class of elliptic free boundary problems on stratified Lie groups. Using the important monotonicity result in a Non-Euclidean setup, we prove that our solution is the limit of mountain pass points of a sequence of C1-functionals approximating the energy. (c) 2025 Elsevier Inc. All rights are reserved, including those for text and data mining, AI training, and similar technologies.
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