Capillary L p -curvature problem
Abstract
Abstract We prove a gradient estimate for a class of capillary curvature equations in the half-space. As an application, we prove the existence of an even, smooth, strictly convex solution to the even capillary L p {L_{p}} -curvature problem for all 1 < p < k + 1 {1
Fields of Study & Subjects
Geometric Analysis and Curvature Flows
Nonlinear Partial Differential Equations
Advanced Differential Geometry Research
Publication details
- Journal / source
- Advances in Calculus of Variations
- Volume
- 19
- Issue
- 4
- Pages
- 699–705
- Publication date
- 28 September 2026
- Language
- EN