2 citations · 2 across the 2 of their papers we have counts for
4 papers · 1 filter
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…
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 bou…
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 condition…