Murat Akman

activity

20132026

most citedRectifiability and elliptic measures on 1-sided NTA domains with Ahlfors-David regular boundaries

24 citations · 42 across the 15 of their papers we have counts for

collaborators

Showing 2019Show all

3 papers · 1 filter

math.AP2019

On a Bernoulli-type overdetermined free boundary problem

Murat Akman, Agnid Banerjee, Mariana Smit Vega Garcia

In this article we study a Bernoulli-type free boundary problem and generalize a work of Henrot and Shahgholian in \cite{HS1} to $A$ -harmonic PDEs. These are quasi-linear…

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.CA2019

Perturbation of elliptic operators in 1-sided NTA domains satisfying the capacity density condition

Murat Akman, Steve Hofmann, José María Martell +1

Let $Ω \subset R^{n + 1}$ , $n \geq 2$ , be a 1-sided non-tangentially accessible domain (aka uniform domain), i.e., a set which satisfies the interior Corkscrew and Harnack chain…

On a Bernoulli-type overdetermined free boundary problem

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

Perturbation of elliptic operators in 1-sided NTA domains satisfying the capacity density condition

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