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math.AP2020
Global gradient estimates for nonlinear parabolic operators
Serena Dipierro, Zu Gao, Enrico Valdinoci
We consider a parabolic equation driven by a nonlinear diffusive operator and we obtain a gradient estimate in the domain where the equation takes place. This estimate depends on t…
math.AP2020
Global gradient estimates for a general type of nonlinear parabolic equations
Cecilia Cavaterra, Serena Dipierro, Zu Gao +1
We provide global gradient estimates for solutions to a general type of nonlinear parabolic equations, possibly in a Riemannian geometry setting. Our result is new in comparison wi…
math.AP2019
Pointwise gradient bounds for entire solutions of elliptic equations with non-standard growth conditions and general nonlinearities
Cecilia Cavaterra, Serena Dipierro, Alberto Farina +2
We give pointwise gradient bounds for solutions of (possibly non-uniformly) elliptic partial differential equations in the entire Euclidean space. The operator taken into account i…