15 citations · 16 across the 5 of their papers we have counts for
5 papers
Lipschitz regularity for a priori bounded minimizers of integral functionals with nonstandard growth
Michela Eleuteri, Antonia Passarelli di Napoli
We establish the Lipschitz regularity of the a priori bounded local minimizers of integral functionals with non autonomous energy densities satisfying non standard growth condition…
Higher regularity for weak solutions to degenerate parabolic problems
Andrea Gentile, Antonia Passarelli di Napoli
In this paper, we study the regularity of weak solutions to the following strongly degenerate parabolic equation \begin{equation*} u_t-÷\left(\left(\left|Du\right|-1\right)_+^{p-1}…
Lipschitz regularity of minimizers of variational integrals with variable exponents
Michela Eleuteri, Antonia Passarelli di Napoli
In this paper we prove the Lipschitz regularity for local minimizers of convex variational integrals of the form \[ \mathfrak{F}( v, Ω)= \int_Ω \! F(x, Dv(x)) \, dx, \] where, for…
Regularity results for a class of widely degenerate parabolic equations
Pasquale Ambrosio, Antonia Passarelli di Napoli
Motivated by applications to gas filtration problems, we study the regularity of weak solutions to the strongly degenerate parabolic PDE $u_{t}-\mathrm{div}\left((\vert Du\vert-ν)_…
Lipschitz regularity for degenerate elliptic integrals with p,q-growth
Giovanni Cupini, Paolo Marcellini, Elvira Mascolo +1
We establish the local Lipschitz continuity and the higher differentiability of vector-valued local minimizers of a class of energy integrals of the Calculus of Variations. The mai…