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