Liouville-type results for stationary maps of a class of functional related to pullback metrics

Autor:	Asserda, Said
Rok vydání:	2017
Předmět:	Mathematics - Differential Geometry Mathematics - Analysis of PDEs Primary 58E20 Secondary 53C21
Zdroj:	Nonlinear Analysis : Theory, Methods & Applications Volume 75, Issue 8, May 2012, Pages 3480-3492
Druh dokumentu:	Working Paper
Popis:	We study a generalized functional related to the pullback metrics (3). We derive the first variation formula which yield stationary maps. We introduce the stress-energy tensor which is naturally linked to conservation law and yield monotonicity formula via the coarea formula and comparison theorem in Riemannian geometry. A version of this monotonicity inequalities enables us to derive some Liouville type results. Also we investigate the constant Dirichlet boundary value problems and the generalized Chern type results for tension field equation with respect to this functional.
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/1707.02495 Zobrazit plný text záznamu View this record from Arxiv