A. Vogel

activity

20182020

collaborators

3 papers

math.AP2020

On a Theorem of Wolff Revisited

Murat Akman, John Lewis, Andrew Vogel

We study $p$ -harmonic functions, $1 < p \neq = 2 < \infty$ , in $R_{+}^{2} = {z = x + i y : y > 0, - \infty < x < \infty}$ and $B (0, 1) = {z : ∣ z ∣ < 1}$ . We first s…

math.AP2019

Note on an eigenvalue problem with applications to a Minkowski type regularity problem in $R$ ^n

Murat Akman, John Lewis, Andrew Vogel

We consider existence and uniqueness of homogeneous solutions $u > 0$ to certain PDE of $p$ -Laplace type, $p$ fixed, $n - 1 < p < \infty, n \geq 2,$ when $u$ is a solution in…

math.AP2018

The Brunn-Minkowski inequality and a Minkowski problem for $A$ -harmonic Green's function

Murat Akman, John Lewis, Olli Saari +1

In this article we study two classical problems in convex geometry associated to $A$ -harmonic PDEs, quasi-linear elliptic PDEs whose structure is modeled on the $p$ -Lapla…

On a Theorem of Wolff Revisited

Note on an eigenvalue problem with applications to a Minkowski type regularity problem in R^n

The Brunn-Minkowski inequality and a Minkowski problem for A-harmonic Green's function

Note on an eigenvalue problem with applications to a Minkowski type regularity problem in $R$ ^n

The Brunn-Minkowski inequality and a Minkowski problem for $A$ -harmonic Green's function