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
收藏
页数：14
相关论文
共 50 条
  • [41] Bifurcation analysis for a free boundary problem modeling tumor growth
    Escher, Joachim
    Matioc, Anca-Voichita
    ARCHIV DER MATHEMATIK, 2011, 97 (01) : 79 - 90
  • [42] Analysis of Solutions to a Free Boundary Problem with a Nonlinear Gradient Absorption
    Lu, Haihua
    Xie, Shu
    Chen, Yujuan
    SYMMETRY-BASEL, 2022, 14 (08):
  • [43] Analysis of control for a free boundary problem of steady plaques in the artery
    Miniak-Gorecka, Alicja
    Nowakowski, Andrzej
    APPLIED MATHEMATICS AND COMPUTATION, 2018, 331 : 473 - 483
  • [44] Bifurcation analysis for a free boundary problem modeling tumor growth
    Joachim Escher
    Anca-Voichita Matioc
    Archiv der Mathematik, 2011, 97 : 79 - 90
  • [45] Convergence analysis of neural networks for solving a free boundary problem
    Zhao, Xinyue Evelyn
    Hao, Wenrui
    Hu, Bei
    COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2021, 93 : 144 - 155
  • [46] Analysis of a one-dimensional free boundary flow problem
    Caboussat, A
    Rappaz, J
    NUMERISCHE MATHEMATIK, 2005, 101 (01) : 67 - 86
  • [47] ALMOST ALL SUBGROUPS OF A LIE GROUP ARE FREE
    EPSTEIN, DBA
    JOURNAL OF ALGEBRA, 1971, 19 (02) : 261 - &
  • [48] On the automorphism group of a free metabelian Lie algebra
    Roman'kov, Vitaly
    INTERNATIONAL JOURNAL OF ALGEBRA AND COMPUTATION, 2008, 18 (02) : 209 - 226
  • [49] Commutator-free Lie group methods
    Celledoni, E
    Marthinsen, A
    Owren, B
    FUTURE GENERATION COMPUTER SYSTEMS-THE INTERNATIONAL JOURNAL OF ESCIENCE, 2003, 19 (03): : 341 - 352
  • [50] A NONLOCAL FREE BOUNDARY PROBLEM
    Dipierro, Serena
    Savin, Ovidiu
    Valdinoci, Enrico
    SIAM JOURNAL ON MATHEMATICAL ANALYSIS, 2015, 47 (06) : 4559 - 4605
12345