27 citations · 130 across the 21 of their papers we have counts for
4 papers · 2 filters
Remarks on Local Boundedness and Local Hölder Continuity of Local Weak Solutions to Anisotropic -Laplacian Type Equations
Emmanuele DiBenedetto, Ugo Gianazza, Vincenzo Vespri
Locally bounded, local weak solutions to a special class of quasilinear, anisotropic, -Laplacian type elliptic equations, are shown to be locally Hölder continuous. Homogeneous…
Sharp Regularity for Weak Solutions to the Porous Medium Equation
Ugo Gianazza, Juhana Siljander
Let be a nonnegative, local, weak solution to the porous medium equation for in a space-time cylinder . Fix a point : if the average \[ a{\buildre…
Some Properties of DeGiorgi Classes
Emmanuele DiBenedetto, Ugo Gianazza
The DeGiorgi classes , defined in (1.1) below encompass, solutions of quasilinear elliptic equations with measurable coefficients as well as minima and Q-min…
Self-improving property of degenerate parabolic equations of porous medium-type
Ugo Gianazza, Sebastian Schwarzacher
We show that the gradient of solutions to degenerate parabolic equations of porous medium-type satisfies a reverse Hölder inequality in suitable intrinsic cylinders. We modify the…