# Exponentially harmonic maps between surfaces

Exponentially harmonic maps between surfaces We show the maximum principle for exponential energy minimizing maps. We then estimate the distance of two image points of an exponentially harmonic map between surfaces. We also study the existence of an exponentially harmonic map between surfaces if the image is contained in a convex disc. We finally investigate the existence of an exponentially harmonic map $$f:M_1\rightarrow M_2$$ f : M 1 → M 2 between surfaces in case $$\pi _2 (M_2) = \emptyset$$ π 2 ( M 2 ) = ∅ . http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Analysis and Mathematical Physics Springer Journals

# Exponentially harmonic maps between surfaces

, Volume 9 (4) – Dec 1, 2018
11 pages

/lp/springer-journals/exponentially-harmonic-maps-between-surfaces-0e2WIaPgAf
Publisher
Springer Journals
Copyright © 2018 by Springer Nature Switzerland AG
Subject
Mathematics; Analysis; Mathematical Methods in Physics
ISSN
1664-2368
eISSN
1664-235X
DOI
10.1007/s13324-018-0270-4
Publisher site
See Article on Publisher Site

### Abstract

We show the maximum principle for exponential energy minimizing maps. We then estimate the distance of two image points of an exponentially harmonic map between surfaces. We also study the existence of an exponentially harmonic map between surfaces if the image is contained in a convex disc. We finally investigate the existence of an exponentially harmonic map $$f:M_1\rightarrow M_2$$ f : M 1 → M 2 between surfaces in case $$\pi _2 (M_2) = \emptyset$$ π 2 ( M 2 ) = ∅ .

### Journal

Analysis and Mathematical PhysicsSpringer Journals

Published: Dec 1, 2018

### References

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