Total energy of radial mappings

Shaolin Chen; David Kalaj

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arXiv · 1703.10064

Total energy of radial mappings

Shaolin Chen·David Kalaj

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Abstract

The main aim of this paper is to extend one of the main results of Iwaniec and Onninen (Arch. Ration. Mech. Anal., 194: 927-986, 2009). We prove that, the so called total energy functional defined on the class of radial streachings between annuli attains its minimum on a total energy diffeomorphism between annuli. This involves a subtle analysis of some special ODE.

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Shaolin Chen, David Kalaj. 2017-03-29. Total energy of radial mappings. https://arxiv.org/abs/1703.10064

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