J. M. Urbano

activity

20082026

C^{p^{'}}

-regularity conjecture in the plane

47 citations · 128 across the 30 of their papers we have counts for

collaborators

Showing 2019 · math.APShow all

2 papers · 2 filters

math.AP2019

Geometric tangential analysis and sharp regularity for degenerate pdes

Eduardo V. Teixeira, José Miguel Urbano

We provide a broad overview on qualitative versus quantitative regularity estimates in the theory of degenerate parabolic pdes. The former relates to DiBenedetto's revolutionary me…

math.AP2019★ 47 cited

A proof of the $C^{p^{'}}$ -regularity conjecture in the plane

Damião J. Araújo, Eduardo V. Teixeira, José Miguel Urbano

We establish a new oscillation estimate for solutions of nonlinear partial differential equations of elliptic, degenerate type. This new tool yields a precise control on the growth…

Geometric tangential analysis and sharp regularity for degenerate pdes

A proof of the Cp′-regularity conjecture in the plane

A proof of the $C^{p^{'}}$ -regularity conjecture in the plane