Quasiconformal harmonic mappings constitute a synergistic intersection between two major streams in mathematical analysis: quasiconformal mapping theory, which generalises conformal mappings by ...

We review some results and open problems for harmonic measure. Their common element is their simple geometric character. Such classical results are the projection estimates of Beurling, Nevanlinna and ...

The mixed Dirichlet-Neumann problem for the Laplace equation in an unbounded plane domain with cuts (cracks) is studied. The Dirichlet condition is given on closed curves making up the boundary of the ...