4 citations · 5 across the 4 of their papers we have counts for
6 papers
Convergence of Natural -Means for the -Laplacian in the Heisenberg Group
András Domokos, Juan J. Manfredi, Diego Ricciotti +1
In this paper we prove uniform convergence of approximations to -harmonic functions by using natural -mean operators on bounded domains of the Heisenberg group w…
Random walks and random tug of war in the Heisenberg group
Marta Lewicka, Juan Manfredi, Diego Ricciotti
We study the mean value properties of -harmonic functions on the first Heisenberg group , in connection to the dynamic programming principles of certain sto…
Regularity of the derivatives of -orthotropic functions in the plane for
Diego Ricciotti
We present a proof of the regularity of -orthotropic functions in the plane for , based on the monotonicity of the derivatives. Moreover we achieve an explicit loga…
Regularity for an anisotropic equation in the plane
Peter Lindqvist, Diego Ricciotti
We present a simple proof of the regularity of -anisotropic functions in the plane for . We achieve a logarithmic modulus of continuity for the derivatives…
On the Regularity of -Harmonic Functions in the Heisenberg Group
Diego Ricciotti
We present a proof of the local Hölder regularity of the horizontal derivatives of weak solutions to the -Laplace equation in the Heisenberg group for .
Plates with incompatible prestrain of higher order
Marta Lewicka, Annie Raoult, Diego Ricciotti
We study the effective elastic behaviour of the incompatibly prestrained thin plates, characterized by a Riemann metric on the reference configuration. We assume that the prest…