Applied Calculus of Variations

The group meets on seminar each Thursday at 10:15 in 3160 (MIMUW).

Talks

22.01.2026 NO SEMINAR

15.01.2026 Monotonicity methods for existence Wiktor Wichrowski

08.01.2026 Existence to evolutionary double-phase problems David Stolnicki

18.12.2025 Lagrange multipliers in the optimal transport Patryk Tokarczuk

11.12.2025 no seminar

04.12.2025 Smoothness of weight sharply discards Lavrentiev’s gap for double phase functionals and supplement on balance conditions by Michał Borowski

27.11.2025 Smoothness of weight sharply discards Lavrentiev’s gap for double phase functionals by Michał Borowski

20.11.2025 Variable-growth total variation for image restoration by Alexandros Matsoukas

13.11.2025 Characterizations and properties of solutions to parabolic problems of linear growth by Theo Elenius room 3130!

6.11.2025 On the contours of images in variational denoising by Michał Łasica

30.10.2025 Analysing spectroscopic data with the use of optimal transport by Krzysztof Zakrzewski

23.10.2025 Second order Kantorovich-Rubinstein duality by Karol Bołbotowski

16.10.2025 Introduction to Wasserstein Spaces by Jan Peszek

9.10.2025 Introduction to Optimal Transportation by Błażej Miasojedow


Young team

Michał Borowski (PhD student)
Saibal Khan (postdoc)
Karol Bołbotowski (postdoc)
David Stolnicki (postdoc)
Łukasz Wodnicki (Master student)
Wiktor Wichrowski (Master student)


Local collaborators

Wojciech Górny

Błażej Miasojedow

Michał Łasica

Piotr Gwiazda


Preprints

* M. Borowski, T. Elenius, L. Schätzler, D. Stolnicki, Carleson-type removability for p-parabolic equations [arxiv]

* M. Borowski, Smoothness of weight sharply discards Lavrentiev’s gap for double phase functionals [arxiv]

* M. Borowski, A. Cianchi, Composition operators in Orlicz-Sobolev spaces [arxiv]

* M. Borowski, B. Miasojedow, Convergence of projected stochastic approximation algorithm [arxiv]

* I. Chlebicka, P. Garain, W. Kim, Gradient higher integrability of bounded solutions to parabolic double-phase systems [arxiv]


Recent papers

* I. Chlebicka, M. Kim, M. Weidner, Gradient Riesz potential estimates for a general class of measure data quasilinear systems, to appear in Adv. Calc. Var. [arxiv]

* M. Benko, I. Chlebicka, J. Endal, B. Miasojedow, Convergence rates of particle approximation of forward-backward splitting algorithm for granular medium equations, Numerische Mathematik [download]

* W. Wichrowski, Revisiting the Lavrentiev Phenomenon in One Dimension , Coll. Math. [download]

* I. Chlebicka, K. Song, Y. Youn, A. Zatorska-Goldstein, Riesz potential estimates for mixed local-nonlocal problems with measure data, J. London Math. Soc. (2) 112 (2025), no. 4, Paper No. e70310. [download]

* M. Benko, I. Chlebicka, J. Endal, B. Miasojedow, Langevin Monte Carlo Beyond Lipschitz Gradient Continuity, Proceedings of the AAAI Conference on Artificial Intelligence (AAAI-25) 39 (15) (2025), 15541-15549. [download]

* M. Borowski, I. Chlebicka, F. De Filippis, B. Miasojedow, Absence and presence of Lavrentiev's phenomenon in double phase functionals upon any choice of exponents, Calc. Var. PDEs (2024) 63:35. [download]

* I. Chlebicka, F. Giannetti, A. Zatorska-Goldstein, Wolff potentials and local behaviour of solutions to measure data elliptic problems with Orlicz growth, Adv. Calc. Var. 17 (4) (2024), 1293-1321. [download]

* M. Borowski, I. Chlebicka, B. Miasojedow, Absence of Lavrentiev's gap for anisotropic functionals, Nonlinear Anal. 246 (2024), 113584. [download]

* I. Chlebicka, N. Simonov, Functional inequalities and applications to doubly nonlinear diffusion equation, Adv. Calc. Var. 17 (2) (2024), 467-485. [download]


Previous members

Sabri Bahrouni (postdoc)
Arttu Karppinen (postdoc)
Ying Li (PhD student, 1-year internship)
Bartosz Budnarowski (Master student)