Jakub Maksymiuk

Jakub Maksymiuk serves as an Assistant Professor at the Institute of Applied Mathematics within the Faculty of Applied Physics and Mathematics at Gdańsk University of Technology. His research focuses on advanced mathematical analysis with applications to differential equations and variational problems requiring nonstandard growth conditions.

Dr. Maksymiuk earned his doctoral degree (PhD) in Mathematics on January 23, 2014, from the Institute of Mathematics of the Polish Academy of Sciences (Instytut Matematyczny PAN).

His primary research expertise lies at the intersection of nonlinear analysis and mathematical physics, with particular emphasis on anisotropic Orlicz spaces, calculus of variations, and Hamiltonian systems. His work explores theoretical foundations of differential equations with nonstandard growth conditions, investigating regularity properties, existence of solutions, and variational structures in complex mathematical frameworks. Dr. Maksymiuk's research addresses challenges in mathematical physics where standard growth assumptions prove inadequate, particularly in problems with directional-dependent properties.

Analysis of his publication record reveals a clear trajectory of increasing sophistication in handling anisotropic function spaces. His recent work, including the 2024 paper on Fenchel-Moreau conjugates, demonstrates advanced theoretical development in this specialized area. A consistent theme across his publications is the application of variational methods to establish existence and regularity results for challenging classes of differential equations.

Dr. Maksymiuk maintains active research collaborations with colleagues including Monika Chmara, Joanna Janczewska, and Michał Starostka, contributing to the mathematical research community at Gdańsk University of Technology.