Some remarks on energy inequalities for harmonic maps with potential

被引：0
|
作者：
Volker Branding
机构：
[1] University of Vienna,Faculty of Mathematics
来源：
Archiv der Mathematik | 2017年 / 109卷
关键词：
Harmonic maps with potential; Gradient estimates; Monotonicity formulas; Liouville theorems; 58E20; 53C43; 35J61;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
In this note we discuss how several results characterizing the qualitative behavior of solutions to the nonlinear Poisson equation can be generalized to harmonic maps with potential between complete Riemannian manifolds. This includes gradient estimates, monotonicity formulas, and Liouville theorems under curvature and energy assumptions.
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页码：151 / 165
页数：14
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