Univ. of Belgrade, Serbia
Distortion of quasiconformal, harmonic maps and inner estimate for elliptic PDE
We study quasiconformal (qc) mappings in plane and space and in particular Lipschitz-continuity of mappings which satisfy in addition certain PDE equations (or inequalities). Some of the obtained results can be considered as versions of Kellogg-Warshawski type theorem for qc-mappings. Among the other things, as tool we use the interior estimates for Poisson type inequality.
Sponsored by the Department of Mathematical Sciences