Weiss monotonicity and capillary hypersurfaces
Abstract
Previous work of the authors established the rigorous limiting behavior of minimizing capillary surfaces to minimizers of the Alt–Caffarelli functional as the capillary angle tends to zero. We prove here that in this limit, the capillary area density converges to the Weiss energy density. We apply this to obtain angle-independent curvature estimates and regularity results for capillary minimizers.
Fields of Study & Subjects
Algebraic Geometry and Number Theory
Commutative Algebra and Its Applications
Advanced Numerical Analysis Techniques
Publication details
- Journal / source
- Journal of Topology and Analysis
- Publisher
- World Scientific Pub Co Pte Ltd
- Pages
- 1–12
- Publication date
- 28 May 2026
- Language
- EN