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math.AP2013
Lower semicontinuity of weak supersolutions to the porous medium equation
Benny Avelin, Teemu Lukkari
Weak supersolutions to the porous medium equation are defined by means of smooth test functions under an integral sign. We show that nonnegative weak supersolutions become lower se…
math.AP2013
Harnack estimates for degenerate parabolic equations modeled on the subelliptic p-Laplacian
Benny Avelin, Luca Capogna, Giovanna Citti +1
We establish a Harnack inequality for a class of quasi-linear PDE modeled on the prototype {equation*} \partial_tu= -\sum_{i=1}^{m}X_i^\ast (|\X u|^{p-2} X_i u){equation*} where $p…