6 citations · 18 across the 8 of their papers we have counts for
9 papers
The Harnack inequality for a class of nonlocal parabolic equations
Agnid Banerjee, Nicola Garofalo, Isidro H. Munive +1
In this paper we establish a scale invariant Harnack inequality for the fractional powers of parabolic operators , , where is the…
Existence and uniqueness of variational solution to the Neumann problem for the pth sub-Laplacian associated to a system of Hörmander vector fields
Duy-Minh Nhieu
We establish the existence and uniqueness of variational solution to the nonlinear Neumann boundary problem for the -Sub-Laplacian associated to a system of Hörmander vecto…
Stable complete embedded minimal surfaces in with empty characteristic locus are vertical planes
Donatella Danielli, Nicola Garofalo, Duy-Minh Nhieu +1
In the recent paper \cite{DGNP} we have proved that the only stable minimal surfaces in the first Heisenberg group $\Hn$ which are graphs over some plane and have empty chara…
Sub-Riemannian calculus and monotonicity of the perimeter for graphical strips
D. Danielli, N. Garofalo, D. M. Nhieu
We prove a monotonicity result at specific points for the Horizontal Perimeter for a class of surfaces in the Heisenberg group.
Mutual Absolute Continuity of Harmonic and Surface Measures for Hormander Type Operators
Luca Capogna, Nicola Garofalo, Duy-Minh Nhieu
In this paper, we consider the Sub-Laplacian L which consists of sum of squares of smooth vector fields that satisfy Hormander's finite rank condition. We study the Dirichlet probl…
Instability of graphical strips and a positive answer to the Bernstein problem in the Heisenberg group
D. Danielli, N. Garofalo, D. M. Nhieu +1
Let S be a C^2 H-minimal noncharacteristic hypersurface in the first Heisenberg group. We show that if S contains a graphical strip, then it is not a stable minimal surface. Moreov…