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Bibliographic Details
Main Author: Bensid, Sabri
Format: Preprint
Published: 2025
Subjects:
Online Access:https://arxiv.org/abs/2501.04033
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Table of Contents:
  • We investigate a class of elliptic free boundary problems, including a generalized Prandtl Batchelor type problem with a singularity on a stratified Lie group. The associated energy functional is nondifferentiable, which precludes the direct application of standard variational techniques. Our analysis combines elliptic regularity theory with the mountain pass theorem in a non-Euclidean setting