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arXiv · 2501.04033

On a Generalized Prandtl-Batchelor Free Boundary Problem with a Singularity on a Stratified Lie Group

Sabri Bensid
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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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Sabri Bensid. 2025-01-01. On a Generalized Prandtl-Batchelor Free Boundary Problem with a Singularity on a Stratified Lie Group. https://arxiv.org/abs/2501.04033

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