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On the Dirichlet problem for $ p$-harmonic maps II: Targets with special structure


Authors: Stefano Pigola and Giona Veronelli
Journal: Proc. Amer. Math. Soc. 144 (2016), 3173-3180
MSC (2010): Primary 58E20
DOI: https://doi.org/10.1090/proc/12962
Published electronically: March 1, 2016
MathSciNet review: 3487246
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Abstract: In this paper we develop new geometric techniques to deal with the Dirichlet problem for a $ p$-harmonic map from a compact manifold with boundary to a Cartan-Hadamard target manifold which is either $ 2$-dimensional or rotationally symmetric.


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Stefano Pigola
Affiliation: Dipartimento di Scienza e Alta Tecnologia, Università degli Studi dell’Insubria, via Valleggio 11, I-22100 Como, Italy
Email: stefano.pigola@uninsubria.it

Giona Veronelli
Affiliation: Université Paris 13, Sorbonne Paris Cité, LAGA, CNRS ( UMR 7539) 99, avenue Jean-Baptiste Clément F-93430 Villetaneuse, France
Email: veronelli@math.univ-paris13.fr

DOI: https://doi.org/10.1090/proc/12962
Received by editor(s): February 10, 2015
Received by editor(s) in revised form: August 26, 2015
Published electronically: March 1, 2016
Communicated by: Guofang Wei
Article copyright: © Copyright 2016 American Mathematical Society