2025/01/01 by Sabri Bensid, Bensid, Sabri
#Analysis of PDEs (math.AP) #FOS: Mathematics
paper · doi:10.48550/arxiv.2501.04033
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