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math.AP2010★ 5 cited
Local Hölder continuity for doubly nonlinear parabolic equations
Tuomo Kuusi, Juhana Siljander, José Miguel Urbano
We give a proof of the Hölder continuity of weak solutions of certain degenerate doubly nonlinear parabolic equations in measure spaces. We only assume the measure to be a doubling…
math.AP2010
A note on the proof of Hölder continuity to weak solutions of elliptic equations
Juhana Siljander
By borrowing ideas from the parabolic theory, we use a combination of De Giorgi's and Moser's methods to give some remarks on the proof of Hölder continuity of weak solutions of el…