English

Analysis of a free boundary problem on stratified Lie group

Analysis of PDEs 2024-12-02 v1

Abstract

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

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Cite

@article{arxiv.2411.18710,
  title  = {Analysis of a free boundary problem on stratified Lie group},
  author = {Sabri Bensid},
  journal= {arXiv preprint arXiv:2411.18710},
  year   = {2024}
}