Mappings of finite distortion: Global homeomorphism theorem.
A strong Liouville theorem for -harmonic functions on graphs.
Solutions of elliptic equations on manifolds with roughly Euclidean ends.
Rough isometries and p-harmonic functions with finite Dirichlet integral.
Quasiregular mappings of the Heisenberg group.
A Picard type theorem for quasiregular mappings of R into n-manifolds with many ends.
Singular functions on metric measure spaces.
On relatively compact domains in metric measure spaces we construct singular functions that play the role of Green functions of the p-Laplacian. We give a characterization of metric spaces that support a global version of such singular function, in terms of capacity estimates at infinity of such metric spaces. In addition, when the measure of the space is locally Q-regular, we study quasiconformal invariance property associated with the existence of global singular functions.
p-harmonic functions on graphs and manifolds.
Page 1