Mariia Savchenko

Position: Senior Researcher

Degree: Doctor of Philosophy

Research Fields: Nonlinear analysis, partial differential equations, and functional analysis, with a focus on the qualitative and regularity theory of nonlinear elliptic and parabolic equations.

Personal profiles:

2020	PhD in mathematics (differential equations), V. N. Karazin Kharkiv National University, Ukraine
2014	Master’s Degree in mathematics, Donetsk National University, Ukraine
2013	Bachelor’s Degree in mathematics, Donetsk National University, Ukraine

2024 – now	Senior Research Fellow, Institute of Applied Mathematics and Mechanics of the National Academy of Sciences of Ukraine
2020 – 2024	Research Fellow, Institute of Applied Mathematics and Mechanics of the National Academy of Sciences of Ukraine
2018 – 2020	Lecturer of the Department of Mathematical Analysis and Differential Equations, Vasyl’ Stus Donetsk National University, Ukraine
2017 – 2018	Assistant of the Department of Mathematical Analysis and Differential Equations, Vasyl’ Stus Donetsk National University, Ukraine

Articles

S. Ciani, E. Henriques, M. Savchenko, and I. Skrypnik, Parabolic De Giorgi classes with doubly nonlinear, nonstandard growth: Local boundedness under exact integrability assumptions, J. Differ. Equ. 462, 114235 (2026). https://doi.org/10.1016/j.jde.2026.114235
M. Savchenko, I. Skrypnik, and Y. Yevgenieva, A note on the weak Harnack inequality for unbounded minimizers of elliptic functionals with generalized Orlicz growth, . Annali di Matematica Pura ed Applicata 204, 1937-1946 (2025). https://doi.org/10.1007/s10231-025-01553-4.
O. V. Hadzhy, M. O. Savchenko, and I. I. Skrypnik, On asymptotic behavior of solutions to non-uniformly elliptic equations with generalized Orlicz growth: In memory of Mykhailo Voitovych, J. Elliptic Parabol. Equ. 11, 1379-1413 (2025). https://doi.org/10.1007/s41808-025-00375-y
M. Savchenko, On the removability of isolated singularities for the p(x)-Laplacian equation, J. Math. Sci. (N.Y.) 294, 753–763 (2025). https://doi.org/10.1007/s10958-025-08130-3
D. Langemann and M. Savchenko, Removability conditions for anisotropic parabolic equations in a computational validation, Front. Appl. Math. Stat. 10, (2024). https://doi.org/10.3389/fams.2024.1388810
M. Savchenko, I. Skrypnik, and Y. Yevgenieva, On the weak Harnack inequality for unbounded non-negative supersolutions of degenerate double-phase parabolic equations, J. Math. Anal. Appl. 537, 128331 (2024). https://doi.org/10.1016/j.jmaa.2024.128331
M. Savchenko, I. Skrypnik, and Y. Yevgenieva, Continuity and Harnack inequalities for local minimizers of non-uniformly elliptic functionals with generalized Orlicz growth under the non-logarithmic conditions, Nonlinear Anal. 230, 113221 (2023). https://doi.org/10.1016/j.na.2023.113221

2026 – 2028	Grant of the National Research Foundation of Ukraine (NRFU), ”Qualitative Methods of Nonlinear Analysis of Heterogeneous Structures”, Project No. 2025.07/0369
2025 – 2026	Grant of the NAS of Ukraine ”Solvability and Regularity of Solutions to Mathematical Physics Equations with Nonstandard and Integro-Differential Structure”, Project No. 0125U002854 (Principal Investigator)
06/2023 – 08/2024	Grant of the European Commission Programme “MSCA4Ukraine”, Project “Qualitative Behavior of Solutions to Nonlinear Partial Differential Equations and Removability Conditions”, Institute of Partial Differential Equations, Technische Universität Braunschweig, Braunschweig, Germany

2025	Award of the National Academy of Sciences of Ukraine for Young Scientists “Talent, Inspiration, Labor”
2024 – 2026	Presidential Scholarship of Ukraine for Young Scientists
2024	Certificate of the National Academy of Sciences of Ukraine for active participation and significant achievements in scientific activities
2023	Prize of the National Academy of Sciences of Ukraine for Young Scientists for the series of works “Qualitative properties of solutions of quasilinear elliptic and parabolic equations with nonstandard growth conditions,” 2023
2021 – 2023	Presidential Scholarship of Ukraine for Young Scientists

10/2022 – 12/2022	Research Internship, Institute of Partial Differential Equations, Technische Universität Braunschweig, Braunschweig, Germany
02/2020 – 04/2020	Research Internship, Humboldt University of Berlin, Berlin, Germany

Mariia Savchenko

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