Gradient regularity for strongly singular or degenerate elliptic and parabolic equations
Abstract
We present recent advances in the regularity theory for weak solutions to some classes of elliptic and parabolic equations with strongly singular or degenerate structure. The equations under consideration satisfy standard $p$-growth and $p$-ellipticity conditions only outside a ball centered at the origin. In the elliptic setting, we describe Besov and Sobolev regularity results for suitable nonlinear functions of the gradient of the weak solutions, covering both the subquadratic ($1
Fields of Study & Subjects
Nonlinear Partial Differential Equations
Navier-Stokes equation solutions
Geometric Analysis and Curvature Flows
Publication details
- Journal / source
- Bruno Pini mathematical analysis Seminar
- Volume
- 16
- Issue
- 1
- Pages
- 68–101
- Publication date
- 25 February 2026
- Language
- EN