22 citations · 22 across the 4 of their papers we have counts for
5 papers · 1 filter
On the Allen-Cahn equation in the Grushin plane: a monotone entire solution that is not one-dimensional
Isabeau Birindelli, Enrico Valdinoci
We consider solutions of the Allen-Cahn equation in the whole Grushin plane and we show that if they are monotone in the vertical direction, then they are stable and they satisfy a…
Symmetry for solutions of two-phase semilinear elliptic equations on hyperbolic space
Isabeau Birindelli, Rafe Mazzeo
Assume that where is a double-well potential. Under certain conditions on the Lipschitz constant of on , we prove that arbitrary bounded global solut…
Eigenvalue and Dirichlet problem for fully-nonlinear operators in non smooth domains
I. Birindelli, F. Demengel
In this paper we study the maximum principle, the existence of eigenvalue and the existence of solution for the Dirichlet problem for operators which are fully-nonlinear, elliptic…
First eigenvalue and Maximum principle for fully nonlinear singular operators
I. Birindelli, F. Demengel
Through the Maximum principle we define the principal eigenvalue for a class of fully-nonlinear operators that are the non-variational equivalent of the p-Laplacian. We also obtain…
A negative answer to a one-dimensional symmetry problem in the Heisenberg group
I. Birindelli, E. Lanconelli
De Giorgi conjectured that bounded monotone solutions to the Ginzburg-Landau equation are constant along hyperplanes, in this paper we prove that in the Heisenberg group this conje…