3 papers
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…
math.OC2019
Sliding mode control of the Hodgkin-Huxley mathematical model
Cecilia Cavaterra, Denis Enachescu, Gabriela Marinoschi
In this paper we deal with a feedback control design for the action potential of a neuronal membrane in relation with the non-linear dynamics of the Hodgkin-Huxley mathematical mod…
math.AP2017
A nonlinear model for marble sulphation including surface rugosity: theoretical and numerical results
Elena Bonetti, Cecilia Cavaterra, Francesco Freddi +2
We consider an evolution system describing the phenomenon of marble sulphation of a monument, accounting of the surface rugosity. We first prove a local in time well posedness resu…