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arXiv:1609.07391 [math.DG]AbstractReferencesReviewsResources

Some Remarks on Energy inequalities for harmonic maps with potential

Volker Branding

Published 2016-09-23Version 1

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.

Categories: math.DG, math-ph, math.AP, math.MP
Subjects: 58E20, 53C43, 35J61
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