Gradient Riesz potential estimates for a general class of measure data quasilinear systems
Abstract
Abstract We study the gradient regularity of solutions to measure data elliptic systems with Uhlenbeck-type structure and Orlicz growth. For any bounded Borel measure, pointwise estimates for the gradient of solutions are provided in terms of the truncated Riesz potential. This allows us to show a precise transfer of regularity from data to solutions on various scales.
Fields of Study & Subjects
Nonlinear Partial Differential Equations
Navier-Stokes equation solutions
Numerical methods in inverse problems
Publication details
- Journal / source
- Advances in Calculus of Variations
- Publisher
- Walter de Gruyter GmbH
- Volume
- 19
- Issue
- 2
- Pages
- 237–269
- Publication date
- 20 February 2026
- Language
- EN