Characterizing Sobolev Homeomorphic Extensions via Internal Distances
Publisher: https://arxiv.org/abs/2503.21132, 2025. Preprint.
Authors: Aleksis Koski, Jani Onninen, Haiqing Xu
Publications
Lower semicontinuity, Stoilow factorization and principal maps
Publisher: Communications on Pure and Applied Analysis, 2024. Published article.
Authors: Kari Astala, Daniel Faraco, André Guerra, Aleksis Koski, Jan Kristensen
Extension of planar Hölder homeomorphisms
Publisher: Journal of the London Mathematical Society, 2024. Published article.
Authors: Stanislav Hencl, Aleksis Koski
The local Burkholder functional, quasiconvexity and Geometric Function Theory
Publisher: https://arxiv.org/abs/2309.03495, 2024. Preprint.
Authors: Kari Astala, Daniel Faraco, André Guerra, Aleksis Koski, Jan Kristensen
Bi-Sobolev extensions
Publisher: The Journal of Geometric Analysis, 2023. Published article.
Authors: Aleksis Koski, Jani Onninen
The Sobolev Jordan-Schönflies problem
Publisher: Advances in Mathematics, 2023. Published article.
Authors: Aleksis Koski, Jani Onninen
Analytic characterization of monotone Hopf-harmonics
Publisher: Calculus of Variations and Partial Differential Equations, 2022. Published article.
Authors: Ilmari Kangasniemi, Aleksis Koski, Jani Onninen
Sobolev homeomorphic extensions from two to three dimensions
Publisher: arXiv:2112.14767, 2021. Preprint.
Authors: Stanislav Hencl, Aleksis Koski, Jani Onninen
Sobolev homeomorphic extensions
Publisher: Journal of the European Mathematical Society, 2021. Published article.
Authors: Aleksis Koski, Jani Onninen
Sobolev homeomorphic extensions onto John domains
Publisher: Journal of Functional Analysis, 2020. Published article.
Authors: Pekka Koskela, Aleksis Koski, Jani Onninen
Improved Hölder regularity for strongly elliptic PDEs
Publisher: Journal de Mathématiques Pures et Appliquées, 2020. Published article.
Authors: Kari Astala, Albert Clop, Daniel Faraco, Jarmo Jääskeläinen, Aleksis Koski
Radial symmetry of minimizers to the weighted Dirichlet energy
Publisher: Proceedings of the Royal Society of Edinburgh Section A: Mathematics, 2020. Published article.
Authors: Aleksis Koski, Jani Onninen
The Radó-Kneser-Choquet theorem for p-harmonic mappings between Riemannian surfaces
Publisher: Revista Matemática Iberoamericana, 2020. Published article.
Authors: Tomasz Adamowicz, Aleksis Koski, Jarmo Jääskeläinen
Radial Symmetry of p-Harmonic Minimizers
Publisher: Archive for Rational Mechanics and Analysis, 2018. Published article.
Authors: Aleksis Koski, Jani Onninen
Nonlinear Beltrami operators, Schauder estimates and bounds for the Jacobian
Publisher: Annales de l Institut Henri Poincaré C, Analyse non linéaire, 2017. Published article.
Authors: Kari Astala, Albert Clop, Daniel Faraco, Jarmo Jääskeläinen, Aleksis Koski
Isotropic p-harmonic systems in 2D Jacobian estimates and univalent solutions
Publisher: Revista Matemática Iberoamericana, 2016. Published article.
Authors: Tadeusz Iwaniec, Aleksis Koski, Jani Onninen
Subharmonicity results for the stationary solutions of isotropic energy functionals
Publisher: Advances in Calculus of Variations, 2016. Published article.
Authors: Aleksis Koski
Elliptic Partial Differential Equations in Geometric Analysis and the Calculus of Variations
Publisher: University of Helsinki, 2016. Doctoral Thesis.
Authors: Aleksis Koski
On Second Order Beltrami Systems
Publisher: Indiana University Mathematics Journal, 2015. Published article.
Authors: Aleksis Koski
Quaternionic Beltrami Equations with VMO Coefficients
Publisher: The Journal of Geometric Analysis, 2013. Published article.
Authors: Aleksis Koski
Singular Integrals and Beltrami Type Operators in the Plane and Beyond
Publisher: University of Helsinki, 2011. Masters Thesis.
Authors: Aleksis Koski