Regularity for degenerate two-phase free boundary elliptic problems
Olivaine S. de Queiroz, Eduardo V. Teixeira
TL;DR
This paper investigates the regularity properties of solutions and free boundaries in two-phase variational problems governed by degenerate elliptic operators, advancing understanding of their mathematical structure.
Contribution
It introduces new regularity results for degenerate two-phase free boundary problems, extending classical theories to degenerate elliptic contexts.
Findings
Established regularity criteria for solutions
Characterized free boundary smoothness under degeneracy
Extended existing theories to degenerate operators
Abstract
This paper deals with regularity theory for two-phase free boundary variational problems ruled by degenerate elliptic operators.
Peer Reviews
No public reviews on file for this paper yet. If you reviewed it on a platform where reviews are public (OpenReview, ICLR, NeurIPS, ICML), you can paste yours below so the community can read it here.
Videos
No videos yet. Explain this paper in a talk, walkthrough, or lecture? Add one.
Taxonomy
TopicsNonlinear Partial Differential Equations · Advanced Mathematical Modeling in Engineering · Differential Equations and Boundary Problems