Details

Autor(en) / Beteiligte

• Guo, Chang-Yu
• Huang, Manzi
• Wang, Zhuang
• Xu, Haiqing

Titel

p-Harmonic mappings between metric spaces

Ist Teil von

• Mathematische Zeitschrift, 2022-11, Vol.302 (3), p.1797-1819

Ort / Verlag

Berlin/Heidelberg: Springer Berlin Heidelberg

Erscheinungsjahr

2022

Quelle

Alma/SFX Local Collection

Beschreibungen/Notizen

• In this paper, we solve the Dirichlet problem for Sobolev maps between singular metric spaces that extends the corresponding result of Guo and Wenger (Commun Anal Geom 28(1):89–112, 2020). The main new ingredient in our proofs is a suitable extension of the theory of trace for metric valued Sobolev maps developed by Korevaar and Schoen (Commun Anal Geom 1(3–4):561–659, 1993) . We also develop a theory of trace in the borderline case, which investigates a sharp condition to characterize the existence of traces.