Radiall symmetry of minimizers to the weighted $p-$Dirichlet energy

David Kalaj

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arXiv · 2303.00089

Radiall symmetry of minimizers to the weighted $p-$Dirichlet energy

David Kalaj

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Abstract

Let $\mathbb{A}=\{z: r< |z| 1$ then such diffeomorphism exist always. If $p=1$, then the conformal modulus of $\A^\ast$ must not be greater or equal to $\pi/2$. This curious phenomenon is opposite to the Nitsche type phenomenon known for the standard Dirichlet energy.

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David Kalaj. 2023-02-28. Radiall symmetry of minimizers to the weighted $p-$Dirichlet energy. https://arxiv.org/abs/2303.00089

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