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math.AP2021
Higher fractional differentiability for solutions to a class of obstacle problems with non-standard growth conditions
Antonio Giuseppe Grimaldi, Erica Ipocoana
We here establish the higher fractional differentiability for solutions to a class of obstacle problems with non-standard growth conditions. We deal with the case in which the solu…
math.AP2021
Pointwise estimates for degenerate Kolmogorov equations with -source term
Erica Ipocoana, Annalaura Rebucci
The aim of this paper is to establish new pointwise regularity results for solutions to degenerate second order partial differential equations with a Kolmogorov-type operator of th…
math.AP2021
On a non-isothermal Cahn-Hilliard model for tumor growth
Erica Ipocoana
We introduce here a new diffuse interface thermodynamically consistent non-isothermal model for tumor growth in presence of a nutrient in a domain . In parti…