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.

引用

页数：14

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