The $L_q$ Minkowski problem for $\mathbf{p}$-harmonic measure

Autor: Li, Hai, Wu, Longyu, Zhu, Baocheng
Rok vydání: 2024
Předmět:
Druh dokumentu: Working Paper
Popis: In this paper, we consider an extremal problem associated with the solution to a boundary value problem. Our main focus is on establishing a variational formula for a functional related to the $\mathbf{p}$-harmonic measure, from which a new measure is derived. This further motivates us to study the Minkowski problem for this new measure. As a main result, we prove the existence of solutions to the $L_q$ Minkowski problem associated with the $\mathbf{p}$-harmonic measure for $0Comment: 28
Databáze: arXiv