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

David Kalaj

Let $\mathbb{A}=\{z:r<|z|<R\}$ and $\A^\ast=\{z: r^\ast<|z|<R^\ast\}$ be annuli in the complex plane. Let $p\in [1,2]$ and assume that $\mathcal{H}^{1,p}(\A,\A^*)$ is the class of…