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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… Click to show full 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:M1→M2 between surfaces in case $$\pi _2 (M_2) = \emptyset $$π2(M2)=∅.
Keywords:
exponentially harmonic;
harmonic maps;
maps surfaces;
harmonic map
Journal Title: Analysis and Mathematical Physics
Year Published: 2018
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Journal Title: Analysis and Mathematical Physics
Year Published: 2018
Link to full text (if available)
Share on Social Media: Sign Up to like & get
recommendations!