15 citations · 50 across the 11 of their papers we have counts for
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Gradient regularity for strongly singular or degenerate elliptic and parabolic equations
Pasquale Ambrosio
We present recent advances in the regularity theory for weak solutions to some classes of elliptic and parabolic equations with strongly singular or degenerate structure. The equat…
Gradient bounds for a widely degenerate orthotropic parabolic equation
Pasquale Ambrosio
In this paper, we consider the following nonlinear parabolic equation \[ \partial_{t}u\,=\,\sum_{i=1}^{n}\partial_{x_{i}}\left[(\vert u_{x_{i}}\vert-δ_{i})_{+}^{p-1}\frac{u_{x_{i}}…
Local boundedness for weak solutions to strongly degenerate orthotropic parabolic equations
Pasquale Ambrosio, Simone Ciani
We prove the local boundedness of local weak solutions to the parabolic equation \[ \partial_{t}u\,=\,\sum_{i=1}^{n}\partial_{x_{i}}\left[(\vert u_{x_{i}}\vert-δ_{i})_{+}^{p-1}\fra…
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…