Radiall symmetry of minimizers to the weighted p-Dirichlet energy

2023/02/28 by David Kalaj, Kalaj, David
Mathematics · #Analysis of PDEs (math.AP) #Analytic and geometric function theory #Complex Variables (math.CV) #FOS: Mathematics #Mathematical functions and polynomials #Nonlinear Partial Differential Equations

paper · pdf · doi:10.48550/arxiv.2303.00089

openalex publication_date 2023/02/28 · openalex created_date 2023/03/03 · openalex updated_date 2026/07/28

Abstract

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

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