Boundary regularity for quasiminima of double-phase problems on metric spaces
Abstract
We give a sufficient condition for Hölder continuity at a boundary point for quasiminima of double-phase functionals of $p,q$-Laplace type, in the setting of metric measure spaces equipped with a doubling measure and supporting a Poincaré inequality. We use a variational approach based on De Giorgi-type conditions to give a pointwise estimate near a boundary point. The proofs are based on a careful phase analysis and estimates in the intrinsic geometries.
Fields of Study & Subjects
Differential Equations and Boundary Problems
Nonlinear Partial Differential Equations
Advanced Mathematical Modeling in Engineering
Publication details
- Journal / source
- Nonlinear Analysis Real World Applications
- Publisher
- Elsevier BV
- Volume
- 94
- Pages
- 104737–104737
- Publication date
- 17 August 2026
- Language
- EN