Journal d'Analyse Mathématique

, Volume 137, Issue 2, pp 469–505 | Cite as

Existence of p-energy minimizers in homotopy classes and lifts of Newtonian maps

  • Elefterios SoultanisEmail author


We study the notion of p-quasihomotopy in Newtonian classes of mappings and link it to questions concerning lifts of Newtonian maps, under the assumption that the target space is nonpositively curved. Using this connection we prove that every p-quasihomotopy class of Newtonian maps contains a minimizer of the p-energy if the target has hyperbolic fundamental group.


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© The Hebrew University of Jerusalem 2019

Authors and Affiliations

  1. 1.University of HelsinkiHelsinkiFinland

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