Free boundary problems involving singular weights
Abstract
In this paper we initiate the investigation of free boundary minimization problems ruled by general singular operators with A2 weights. We show existence and boundedness of minimizers. The key novelty is a sharp C1+γ regularity result for solutions at their singular free boundary points. We also show a corresponding non-degeneracy estimate.
0
Turn this paper into a lesson
ArcXiv compiles a structured reading guide from this paper's metadata: plain-English importance, contributions, prerequisite concepts, which sections to read first, flashcards, and a quiz. Grounded in the abstract, never invented.