Items where Author is "Akman, Murat"

Akman, Murat and Banerjee, Agnid and Munive, Isidro H (2023) Borderline gradient continuity for the normalized p-parabolic operator. Journal of Geometric Analysis, 33 (8). DOI https://doi.org/10.1007/s12220-023-01317-7

Akman, Murat and Hofmann, Steve and Martell, José María and Toro, Tatiana (2023) Perturbation of elliptic operators in 1-sided NTA domains satisfying the capacity density condition. Forum Mathematicum, 35 (1). pp. 245-295. DOI https://doi.org/10.1515/forum-2022-0323

Akman, Murat and Hofmann, Steve and Martell, José María and Toro, Tatiana (2022) Square function and non-tangential maximal function estimates for elliptic operators in 1-sided NTA domains satisfying the capacity density condition. Advances in Calculus of Variations, 16 (3). pp. 731-766. DOI https://doi.org/10.1515/acv-2021-0053

Akman, Murat and Lewis, John and Vogel, Andrew (2022) On a Theorem of Wolff Revisited. Journal d'Analyse Mathematique, 146 (2). pp. 487-530. DOI https://doi.org/10.1007/s11854-022-0200-0

Akman, Murat and Lewis, John and Vogel, Andrew (2022) Failure of Fatou type theorems for solutions to PDE of p-Laplace type in domains with flat boundaries. Communications in Partial Differential Equations, 47 (7). pp. 1457-1503. DOI https://doi.org/10.1080/03605302.2022.2056704

Akman, Murat and Gong, Jasun and Hineman, Jay and Lewis, John and Vogel, Andrew (2022) The Brunn-Minkowski inequality and a Minkowski problem for nonlinear capacity. American Mathematical Society (AMS), vi+115-vi+115. Official URL: https://0-doi-org.serlib0.essex.ac.uk/10.1090/memo...

Akman, Murat and Banerjee, Agnid and Smit Vega Garcia, Mariana (2021) On a Bernoulli-type overdetermined free boundary problem. Annales Fennici Mathematici, 46 (2). pp. 601-618. DOI https://doi.org/10.5186/aasfm.2021.4639

Akman, Murat and Lewis, J and Saari, O and Vogel, A (2021) The Brunn-Minkowski inequality and a Minkowski problem for A-harmonic Green's function. Advances in Calculus of Variations, 14 (2). pp. 247-302. DOI https://doi.org/10.1515/acv-2018-0064

Akman, Murat and Lewis, John and Vogel, Andrew (2019) Note on an eigenvalue problem with applications to a Minkowski type regularity problem in Rⁿ. Calculus of Variations and Partial Differential Equations, 59 (2). DOI https://doi.org/10.1007/s00526-020-1697-7 (In Press)

Akman, Murat and Bortz, Simon and Hofmann, Steve and Martell, José María (2019) Rectifiability, interior approximation and Harmonic measure. Arkiv för Matematik, 57 (1). pp. 1-22. DOI https://doi.org/10.4310/ARKIV.2019.v57.n1.a1

Akman, Murat and Badger, Matthew and Hofmann, Steve and Martell, José María (2019) Rectifiability and elliptic measures on 1-sided NTA domains with Ahlfors-David regular boundaries. Transactions of the American Mathematical Society, 369 (8). pp. 5711-5745. DOI https://doi.org/10.1090/tran/6927

Akman, Murat and Azzam, Jonas and Mourgoglou, Mihalis (2019) Absolute continuity of harmonic measure for domains with lower regular boundaries. Advances in Mathematics, 345. pp. 1206-1252. DOI https://doi.org/10.1016/j.aim.2019.01.021

Akman, Murat and Lewis, John and Vogel, Andrew (2019) Note on an Eigenvalue problem for an ODE originating from a homogeneous p-harmonic function. Algebra i Analiz, 31 (2). pp. 75-87. DOI https://doi.org/10.1090/spmj/1594

Akman, Murat and Lewis, John and Vogel, Andrew (2017) σ-Finiteness of elliptic measures for quasilinear elliptic PDE in space. Advances in Mathematics, 309. pp. 512-557. DOI https://doi.org/10.1016/j.aim.2017.01.013

Akman, Murat (2016) On the absolute continuity of p-harmonic measure and surface measure in Reifenberg flat domains. Pacific Journal of Mathematics, 286 (1). pp. 25-37. DOI https://doi.org/10.2140/pjm.2017.286.25

Akman, Murat and Lewis, John and Vogel, Andrew (2015) Hausdorff dimension and σ finiteness of p harmonic measures in space when p ≥ n. Nonlinear Analysis: Theory, Methods and Applications, 129. pp. 198-216. DOI https://doi.org/10.1016/j.na.2015.08.021

Akman, Murat (2014) On the Hausdorff dimension of a certain measure arising from a positive weak solution to a divergence type PDE. PhD thesis, University of Kentucky.

Akman, Murat (2014) On the dimension of a certain Borel measure in the plane. Annales Academiae Scientiarum Fennicae. Mathematica, 39 (1). pp. 187-209. DOI https://doi.org/10.5186/aasfm.2014.3923