The Brunn-Minkowski inequality and a Minkowski problem for nonlinear capacity M Akman, J Gong, J Hineman, J Lewis, A Vogel
arXiv preprint arXiv:1709.00447, 2017
38 * 2017 Rectifiability and elliptic measures on 1-sided NTA domains with Ahlfors-David regular boundaries M Akman, M Badger, S Hofmann, JM Martell
Transactions of the American Mathematical Society 369 (8), 5711-5745, 2017
32 2017 Absolute continuity of harmonic measure for domains with lower regular boundaries M Akman, J Azzam, M Mourgoglou
Advances in Mathematics 345, 1206-1252, 2019
21 2019 Perturbation of elliptic operators in 1-sided NTA domains satisfying the capacity density condition M Akman, S Hofmann, JM Martell, T Toro
Forum Mathematicum 35 (1), 245-295, 2023
19 2023 The Brunn--Minkowski inequality and a Minkowski problem for 𝒜-harmonic Green's function M Akman, J Lewis, O Saari, A Vogel
Advances in Calculus of Variations 14 (2), 247-302, 2021
13 2021 Rectifiability, interior approximation and harmonic measure M Akman, S Bortz, S Hofmann, JM Martell
13 2019 On the dimension of a certain measure in the plane M Akman
Annales Academiæ Scientiarum Fennicæ 39, 187-209, 2014
12 2014 On the logarithm of the minimizing integrand for certain variational problems in two dimensions M Akman, JL Lewis, A Vogel
Analysis and Mathematical Physics 2 (1), 79-88, 2012
11 2012 Square function and non-tangential maximal function estimates for elliptic operators in 1-sided NTA domains satisfying the capacity density condition M Akman, S Hofmann, JM Martell, T Toro
Advances in Calculus of Variations 16 (3), 731-766, 2023
7 2023 σ-finiteness of elliptic measures for quasilinear elliptic PDE in space M Akman, J Lewis, A Vogel
Advances in Mathematics 309, 512-557, 2017
6 2017 Hausdorff dimension and σ finiteness of p harmonic measures in space when p≥ n M Akman, J Lewis, A Vogel
Nonlinear Analysis: Theory, Methods & Applications 129, 198-216, 2015
6 2015 Note on an eigenvalue problem with applications to a Minkowski type regularity problem in M Akman, J Lewis, A Vogel
Calculus of Variations and Partial Differential Equations 59 (2), 1-36, 2020
5 * 2020 Note on an eigenvalue problem for an ODE originating from a homogeneous 𝑝-harmonic function M Akman, J Lewis, A Vogel
St. Petersburg Mathematical Journal 31 (2), 241-250, 2020
4 2020 On the Minkowski problem for p-harmonic measures M Akman, S Mukherjee
arXiv preprint arXiv:2310.10247, 2023
1 2023 Borderline Gradient Continuity for the Normalized p -Parabolic Operator M Akman, A Banerjee, IH Munive
The Journal of Geometric Analysis 33 (8), 264, 2023
1 2023 On a theorem of Wolff revisited M Akman, J Lewis, A Vogel
Journal d'Analyse Mathématique 146 (2), 487-530, 2022
1 2022 On a Bernoulli-type overdetermined free boundary problem M Akman, A Banerjee, MSV Garcia
arXiv preprint arXiv:1911.02801, 2019
1 2019 On the absolute continuity of p-harmonic measure and surface measure in Reifenberg flat domains M Akman
Pacific Journal of Mathematics 286 (1), 25-37, 2016
1 2016 Failure of Fatou type theorems for solutions to PDE of p -Laplace type in domains with flat boundaries M Akman, J Lewis, A Vogel
Communications in Partial Differential Equations 47 (7), 1457-1503, 2022
2022 On the Hausdorff dimension of a certain measure arising from a positive weak solution to a divergence type PDE M Akman
University of Kentucky, 2014
2014