In this paper we analyze a broad class of abstract doubly nonlinear evolution equations in
Banach spaces, driven by nonsmooth and nonconvex energies. We provide some general …

This paper deals with the analysis of a class of doubly nonlinear evolution equations in the
framework of a general metric space. We propose for such equations a suitable metric …

On the vanishing-viscosity limit in parabolic systems with rate-independent dissipation
terms Page 1 Ann. Sc. Norm. Super. Pisa Cl. Sci. (5) Vol. XIII (2014), 67-135 On the …

We address, in a three-dimensional spatial setting, both the viscous and the standard Cahn–
Hilliard equation with a nonconstant mobility coefficient. As shown in Barrett and Blowey …

In this paper, we are interested in nonlinear pseudoparabolic problems of type: f (t, x,∂ tu)−
Div [a (x, u,∂ tu)∇ u]− Div [b (x, u,∂ tu)∇∂ ut]= g. f is a nondecreasing continuous function …

We study a large class of stochastic p-Laplace Allen-Cahn equations with singular potential.
Under suitable assumptions on the (multiplicative-type) noise we first prove existence …

We study the unsaturated case of the Richards equation in three space dimensions with
Dirichlet boundary data. We first establish an a priori L∞-estimate. With its help, by means of …

We consider the following doubly nonlinear parabolic equation in a bounded domain⊂ R3: f
(x,* tu)= xu− g (x, u) where the nonlinearity f is allowed to have a degeneracy with respect to …

This paper is concerned with the uniqueness, existence, partial smoothing effect,
comparison principle and long-time behavior of solutions to the initial-boundary value …

Completing the analysis in Scarpa (Math Models Methods Appl Sci 30 (5): 991–1031 2020),
we investigate the well-posedness of SPDEs problems of doubly nonlinear type. These arise …