85 citations · 90 across the 4 of their papers we have counts for
4 papers
A nonlinear Liouville theorem for fractional equations in the Heisenberg group
Eleonora Cinti, Jinggang Tan
We establish a Liouville-type theorem for a subcritical nonlinear problem, involving a fractional power of the sub-Laplacian in the Heisenberg group. To prove our result we will us…
An extension problem for the CR fractional Laplacian
Rupert L. Frank, María de Mar González, Dario D. Monticelli +1
We show that the conformally invariant fractional powers of the sub-Laplacian on the Heisenberg group are given in terms of the scattering operator for an extension problem to the…
A Harnack inequality for fractional Laplace equations with lower order terms
Jinggang Tan, Jingang Xiong
We establish a Harnack inequality of fractional Laplace equations without imposing sign condition on the coefficient of zero order term via the Moser's iteration and John-Nirenberg…
Positive solutions of nonlinear problems involving the square root of the Laplacian
Xavier Cabre, Jinggang Tan
We consider nonlinear elliptic problems involving a nonlocal operator: the square root of the Laplacian in a bounded domain with zero Dirichlet boundary conditions. For positive so…