On a Generalized Prandtl-Batchelor Free Boundary Problem with a Singularity on a Stratified Lie Group
Analysis of PDEs
2025-01-09 v1
Abstract
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
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Cite
@article{arxiv.2501.04033,
title = {On a Generalized Prandtl-Batchelor Free Boundary Problem with a Singularity on a Stratified Lie Group},
author = {Sabri Bensid},
journal= {arXiv preprint arXiv:2501.04033},
year = {2025}
}
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25 pages