Analysis of a free boundary problem on stratified Lie group

2024/11/27 by Sabri Bensid, Bensid, Sabri
Mathematics · Computer Science · #Differential Equations and Boundary Problems #Advanced Mathematical Modeling in Engineering #Nonlinear Partial Differential Equations

paper · pdf · doi:10.48550/arxiv.2411.18710

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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