TY - T1 - Quasiconformal and p-energy minimizing maps between metric spaces SN - / UR - URN:ISBN:978-951-51-2064-9; http://hdl.handle.net/10138/161119 T3 - A1 - Soultanis, Elefterios A2 - PB - Helsingin yliopisto Y1 - 2016 LA - eng AB - This dissertation studies classical questions in the field of geometric analysis in the context of metric spaces. The dissertation is comprised of three research articles. The first is on the connection of quasiconformal maps and the quasihyperbolic metric. The remaining two concern notions of homotopy classes of Sobolev type maps between metric spaces, comparison with the manifold case, and the existence of minimizers of a p-energy in these homotopy classes. The unifying theme of all three ... VO - IS - SP - OP - KW - mathematics N1 - PP - ER -