33 citations · 52 across the 31 of their papers we have counts for
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On the optimal -regularity for viscous Hamilton-Jacobi equations with subquadratic growth in the gradient
Alessandro Goffi
This paper studies a maximal -regularity property for nonlinear elliptic equations of second order with a zero-th order term and gradient nonlinearities having superlinear and…
Sobolev regularity for nonlinear Poisson equations with Neumann boundary conditions on Riemannian manifolds
Alessandro Goffi, Francesco Pediconi
In this paper, we study the Sobolev regularity of solutions to nonlinear second order elliptic equations with super-linear first-order terms on Riemannian manifolds, complemented w…
Liouville results for fully nonlinear equations modeled on Hörmander vector fields: II. Carnot groups and Grushin geometries
Martino Bardi, Alessandro Goffi
The paper treats second order fully nonlinear degenerate elliptic equations having a family of subunit vector fields satisfying a full-rank bracket condition. It studies Liouville…
On the Liouville property for fully nonlinear equations with superlinear first-order terms
Marco Cirant, Alessandro Goffi
We consider in this note one-side Liouville properties for viscosity solutions of various fully nonlinear uniformly elliptic inequalities, whose prototype is $F(x,D^2u)\geq H_i(x,u…
Transport equations with nonlocal diffusion and applications to Hamilton-Jacobi equations
Alessandro Goffi
We investigate regularity and a priori estimates for Fokker-Planck and Hamilton-Jacobi equations with unbounded ingredients driven by the fractional Laplacian of order $s\in(1/2,1)…