Uniform estimates for a family of Poisson problems: `rounding up the corners'

Also Consider

Synapse has enriched 5 closely related papers on similar clinical questions. Consider them for comparative context:

1. 1Uniform regularity and weight estimates for the Poisson problems when rounding off the conical points2025
2. 2Sobolev space theory for Poisson's equation in non-smooth domains via superharmonic functions and Hardy's inequality2024
3. 3Uniform estimates for elliptic equations with Caratheodory nonlinearities at the interior and on the boundary2025
4. 4Uniform boundary estimates for Neumann problems in parabolic homogenization2024
5. 5Analysis and approximation of elliptic problems with Uhlenbeck structure in convex polytopes2024