3 citations · 8 across the 12 of their papers we have counts for
13 papers
Widely degenerate anisotropic diffusion: local boundedness and semicontinuity
Pasquale Ambrosio, Simone Ciani, Giovanni Cupini
We investigate the regularity of local weak solutions to evolution equations of the form \[ \partial_{t}u\,=\,\sum_{i=1}^{n}\,\partial_{x_{i}}\left[a_{i}(x,t)\,(\vert\partial_{x_{i…
Global boundedness of weak solutions with finite energy to a general class of Dirichlet problems
Giovanni Cupini, Paolo Marcellini
As explained in detail in the prologue to this manuscript, boundedness of weak solutions for general classes of elliptic equations in divergence form is a classic tool for achievin…
Local boundedness for solutions of a class of non-uniformly elliptic anisotropic problems
Stefano Biagi, Giovanni Cupini, Elvira Mascolo
We consider a class of {energy integrals}, associated to nonlinear and non-uniformly elliptic equations, with integrands satisfying anisotropic -growth conditions…
Regularity of vectorial minimizers for non-uniformly elliptic anisotropic integrals
Pasquale Ambrosio, Giovanni Cupini, Elvira Mascolo
We establish the local boundedness of the local minimizers of non-uniformly elliptic integrals of the form , where is a bounde…
The Leray-Lions existence theorem under general growth conditions
Giovanni Cupini, Paolo Marcellini, Elvira Mascolo
We prove an existence result of weak solutions , to a Dirichlet problem for a second order elliptic equ…
Regularity for nonuniformly elliptic equations with growth and explicit dependence
Giovanni Cupini, Paolo Marcellini, Elvira Mascolo
We are interested in the regularity of weak solutions to the elliptic equation in divergence form; precisely in their local boundedness and their local Lipschitz continuity und…