26 citations · 138 across the 26 of their papers we have counts for
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Note on time-regularity for weak solutions to parabolic systems of p-Laplace type
Simon Bortz, Moritz Egert, Olli Saari
We show that local weak solutions to parabolic systems of p-Laplace type are H{ö}lder continuous in time with values in a spatial Lebesgue space and H{ö}lder continuous on almost e…
Sobolev contractivity of gradient flow maximal functions
Simon Bortz, Moritz Egert, Olli Saari
We prove that the energy dissipation property of gradient flows extends to the semigroup maximal operators in various settings. In particular, we show that the vertical maximal fun…
A reverse Hölder inequality for the gradient of solutions to Trudinger's equation
Olli Saari, Sebastian Schwarzacher
We provide a higher integrability result for the gradient of positive solutions to Trudinger's equation (also known as the doubly non-linear equation) for the range $p\in [2,\infty…
Weak differentiability for fractional maximal functions of general functions on domains
João P. G. Ramos, Olli Saari, Julian Weigt
Let be bounded a domain. We prove under certain structural assumptions that the fractional maximal operator relative to maps …