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arXiv · 2311.04029

Conservation Laws for $p$-Harmonic Systems with Antisymmetric Potentials and Applications

Francesca Da Lio·Tristan Rivière
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Abstract

We prove that $p $-harmonic systems with antisymmetric potentials can be written in divergence form as a conservation law. This extends to the $p$-harmonic framework the original work from 2006 of the second author for $p=2$ (arXiv:math/0603380). We give applications of the existence of this divergence structure in the analysis $p\rightarrow 2$.

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Francesca Da Lio, Tristan Rivière. 2023-11-07. Conservation Laws for $p$-Harmonic Systems with Antisymmetric Potentials and Applications. https://arxiv.org/abs/2311.04029

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