Existence for \(VT\)-harmonic maps from compact manifolds with boundary
type: Item
instance of: scholarly article
title: Existence for \(VT\)-harmonic maps from compact manifolds with boundary
zbMATH Open document ID: 1506.58008
author: Yanyan Li
published in: Science China. Mathematics
publication date: 2022-10-25T00:00:00Z
review text: In this paper, the authors prove an existence theorem for the solutions of the Dirichlet problem for a generalization of harmonnic maps, the so called \(VT\)-harmonic maps, defined on a compact differentiable manifold with boundary. \(VT\) harmonic maps were introduced by \textit{Q. Chen} et al. [Ann. Global Anal. Geom. 57, No. 1, 71--94 (2020; Zbl 1432.58010)] as a generalization of harmonic maps introducing a vector field \(V\) and a tensor field \(T\). The main result of the paper is stated in Theorem 1.5 of the paper and proves, under suitable assumptions, the existence of a \(VT\)-harmonic map satisfying some suitable boundary conditions.
Mathematics Subject Classification ID: 58E15
Mathematics Subject Classification ID: 58E20
Mathematics Subject Classification ID: 53C27
Mathematics Subject Classification ID: 58A05
zbMATH DE Number: 7606691
zbMATH Keywords: Dirichlet problem
zbMATH Keywords: existence
zbMATH Keywords: harmonic map
reviewed by: Antonio Masiello
MaRDI profile type: Publication
full work available at URL: s11425-020-1941-4
OpenAlex ID: W4281708324
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DOI: 10.1007/S11425-020-1941-4
description: scientific article; zbMATH DE number 7606691