We study analytical and geometric properties of minimizers of non-differentiable functionals epitomizing the degenerate quenching problem. Our main finding unveils finite $(n-1)-$Hausdorff measure estimates for the pertaining free boundaries. The approach hinges upon deriving optimal gradient decay estimates, coupled with a fine analysis of an intrinsic auxiliary equation stripped of the singularity.
No takes yet. Share an insight, caveat, or question.
Araújo et al. (2024) studied this question.
Synapse has enriched 5 closely related papers on similar clinical questions. Consider them for comparative context: