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arXiv · 2411.18710

Analysis of a free boundary problem on stratified Lie group

Sabri Bensid
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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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Sabri Bensid. 2024-11-27. Analysis of a free boundary problem on stratified Lie group. https://arxiv.org/abs/2411.18710

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