Full Professor at Institute of Mathematics
Polish Academy of Sciences
ul. Śniadeckich 8, 00-656 Warsaw, Poland jmederski at impan dot pl MathSciNetGoogle Scholar
2020: laureate of the Wacław Sierpiński Scientific Award of the III Department of the Polish Academy of Sciences
01.2021 - 03.2024: PI of the grant Opus - National Science Centre, Poland (Grant No. 2020/37/B/ST1/02742)
2021 - 2024: member of the Jury "Kazimierz Kuratowski Award"
2019 - 2025: member of the Scientific Council of the Institute of Mathematics of the Polish Academy of Sciences
2019 - 2025: member of the Scientific Council of Juliusz P. Schauder Center for Nonlinear Studies
11.2019 - 04.2021: Humboldt Research Fellowship for Experienced Researchers Department of Mathematics, Karlsruher Institut für Technologie (KIT), Germany
08.2018 - 11.2023: PI of the grant Sonata Bis - National Science Centre, Poland (Grant No. 2017/26/E/ST1/00817)
05.2018 - 11.2018: Visiting Professor at the Department of Mathematics, Karlsruher Institut für Technologie (KIT), Germany
03.2018 - present: Associate Professor at the Institute of Mathematics of the Polish Academy of Sciences
01.2018: Habilitation in Mathematics, dissertation: Theory of critical points of strongly indefinite functionals and time-harmonic solutions of Maxwell equations with a nonlinear polarization of subcritical growth, distinction of the dissertation by the Scientific Council of Institute of Mathematics of the Polish Academy of Sciences
10.2016: Scholarship of the Minister of Science and Higher Education for young outstanding scientists (3 years: 2016-2019)
10.2016: 1st Individual Award of the Rector of the Nicolaus Copernicus University for scientific achievements
09.2016 - 02.2018: Assistant Professor at the Institute of Mathematics of the Polish Academy of Sciences
07.2015 - 07.2018: PI of the grant Sonata - National Science Centre, Poland (Grant No. 2014/15/D/ST1/03638)
10.2010 - 07.2020: Assistant Professor at Nicolaus Copernicus University
10.2011 - 09.2012: Postdoctoral Fellow at Justus Liebig Universität Gießen, advisor: Prof. Thomas Bartsch
12.2009: PhD in Mathematics (with Distinction) at Nicolaus Copernicus University, PhD thesis: Approximations and homotopy invariants for set-valued maps under constraints, supervisor: prof. Wojciech Kryszewski, in 2010 dissertation was awarded by the NCU Rector
2009: Scholarship for Ph.D. Students - Step in the Future, ZPORR, 2009
2007: Team Award of the NCU Rector for research
2006: M.S. in Computer Science at Nicolaus Copernicus University, thesis: Asynchronous algorithm of molecular dynamics and its object-oriented implementation, supervisor: prof. dr hab. Piotr Bała
2005: M.S. in Mathematics at Nicolaus Copernicus University, thesis: Fixed point index for Krasnosel'skii-type set-valued maps, supervisor: prof. dr hab. Wojciech Kryszewski
2002-2005: Scholarship of Ministry of National Education for achievements in studies
1999: 4th place in International Baltic Way Mathematical Team Contest, Iceland
1999: 3rd prize in Mathematical Olympiad, Poland
Grant NCN Opus: Between nonlinear partial differential equations and Sobolev-type inequalities, 06.2024-06.2028, PI: Jarosław Mederski
The local co-investigator and a PhD student will involved in the project soon.
PhD student: The call will be available soon.
Grant NCN SONATA BIS (past): Nonlinear equations involving the curl-curl operator, 08.2018-07.2023, PI: Jarosław Mederski
The local co-investigators involved in the project:
Panayotis Smyrnelis, Assistant Professor, Polish Academy of Sciences, from 01.12.2019 Marie Skłodowska-Curie Individual Fellowship at Basque Center for Applied Mathematics
L. Baldelli, B. Bieganowski, J. Mederski: Traveling waves for nonlinear Schrödinger equations,
submitted arXiv:2406.03910
J. Mederski, J. Schino: Travelling waves for Maxwell's equations in nonlinear and symmetric media,
submitted arXiv:2406.01433
J. Mederski, A. Szulkin: Multiple normalized solutions to a system of nonlinear Schrödinger equations,
submitted arXiv:2403.16987
P. d'Avenia, J. Mederski: Between Maxwell and Born-Infeld: the presence of the magnetic field,
submitted arXiv:2403.08924
L. Baldelli, J. Mederski, A. Pomponio: Normalized solutions to Born-Infeld and quasilinear problems,
submitted arXiv:2312.15025
B. Bieganowski, A. Konysz, J. Mederski: Semiclassical states for the curl-curl problem,
submitted arXiv:2312.03658
J. Mederski, J. Schino: Normalized solutions to Schrödinger equations in the strongly sublinear regime,
Calc. Var. Partial Differential Equations 63 (2024), no. 5, Paper No. 137.
10.1007/s00526-024-02729-1,
arXiv:2306.06015
B. Bieganowski, J. Mederski, J. Schino: Normalized solutions to at least mass critical problems: singular polyharmonic equations and related curl-curl problems,
Journal of Geometric Analysis 34 (2024), no. 10 (332), 32 pp.
10.1007/s12220-024-01770-y,
arXiv:2212.12361
J. Mederski, W. Reichel: Travelling waves for Maxwell's equations in nonlinear and nonsymmetric media,
NoDEA Nonlinear Differential Equations Appl. 30 (2023), no. 2, Paper No. 22, 38 pp., arXiv:2112.15146
J. Mederski, A. Pomponio: Born-Infeld problem with general nonlinearity,
J. Differential Equations 370 (2023), 470-497, arXiv:2109.10155
J. Mederski, J. Schino: Nonlinear curl-curl problems in R^3,
Minimax Theory and its Applications, 7 (2022), No. 2, 339–364
link,
arXiv:2107.07396
J. Mederski, J. Siemianowski: Biharmonic nonlinear scalar field equations,
International Mathematics Research Notices 2023 (23), (2023), 19963-19995
10.1093/imrn/rnac303,
arXiv:2107.07320
J. Mederski, J. Schino: Least energy solutions to a cooperative system of Schrödinger equations with prescribed L^2-bounds: at least L^2-critical growth,
Calc. Var. Partial Differential Equations 61:10 (2022),
10.1007/s00526-021-02116-0,
arXiv:2101.02611
P. d'Avenia, J. Mederski, A. Pomponio:
Nonlinear scalar field equation with competing nonlocal terms,
Nonlinearity 34 (2021), 5687–5707,
DOI 10.1088/1361-6544/ac0d47,
arXiv:2010.13184
M. Gaczkowski, J. Mederski, J.Schino:
Multiple solutions to cylindrically symmetric curl-curl problems and related Schrödinger equations with singular potentials,
SIAM J. Math. Anal. 55 (2023), no. 5, 4425-4444, arXiv:2006.03565
B. Bieganowski, J. Mederski: Normalized ground states of the nonlinear Schrödinger equation with at least mass critical growth,
J. Funct. Anal. 280 (2021), no. 11, 108989 DOI 10.1016/j.jfa.2021.108989, arXiv:2002.08344
J. Mederski, A. Szulkin: A Sobolev-type inequality and ground states for curl-curl problem with critical exponent,
Arch. Rational Mech. Anal. (2021), DOI 10.1007/s00205-021-01684-x, arXiv:2002.00613
B. Bieganowski, J. Mederski:
Bound states for the Schrödinger equation with mixed-type nonlinearites,
Indiana Univ. Math. J. 71 No. 1 (2022), p. 65-92
DOI 10.1512/iumj.2022.71.8662,
arXiv:1905.04542
J. Mederski, J. Schino, A. Szulkin:
Multiple solutions to a nonlinear curl-curl problem in R^3,
Arch. Rational Mech. Anal. 236 (2020) 253-288
DOI 10.1007/s00205-019-01469e3,
arXiv:1901.05776
J. Mederski: General class of optimal Sobolev inequalities and nonlinear scalar field equations,
J. Differential Equations 281 (2021), 411-441 DOI 10.1016/j.jde.2021.02.015, arXiv:1812.11451
B. Bieganowski, J. Mederski: Note on semiclassical states for the Schrödinger equation with nonautonomous nonlinearities,
Appl. Math. Lett. 88 (2019), 149-155,
arXiv:1808.09148
J. Mederski: Nonradial solutions of nonlinear scalar field equations,
Nonlinearity 33 (2020), 6349-6380, doi:10.1088/1361-6544/aba889 arXiv:1711.05711
J. Mederski: Nonlinear time-harmonic Maxwell equations in a bounded domain: lack of compactness,
survey, Sci. China Math. 61 (2018), no. 11, 1963-1970
doi.org/10.1007/s11425-017-9312-8
T. Bartsch, J. Mederski: Nonlinear time-harmonic Maxwell equations in domains,
J. Fixed Point Theory Appl. 19 (2017), no. 1, 959-986
DOI 10.1007/s11784-017-0409-1
(the special issue in honour of Prof. Paul Rabinowitz) arXiv:1610.06338
P. d'Avenia, J. Mederski, A. Pomponio: Vortex ground states for Klein-Gordon-Maxwell-Proca type systems,
J. Math. Phys. 58 (2017), no. 4, 041503, 19 pp.,
DOI 10.1063/1.4982038arXiv:1603.04649
B. Bieganowski, J. Mederski: Nonlinear Schrödinger equations with sum of periodic and vanishig potentials and sign-changning nonlinearities,
Communications on Pure and Applied Analysis 17(1) (2018)143-161,
DOI 10.3934/cpaa.2018009, arXiv:1602.05078
T. Bartsch, J. Mederski: Nonlinear time-harmonic Maxwell equations in an anisotropic bounded medium,
J. Funct. Anal. 272 (2017), no. 10, 4304-4333
DOI 10.1016/j.jfa.2017.02.019arXiv:1509.01994
J. Mederski: Nonlinear time-harmonic Maxwell equations in R^3: recent results and open questions,
Lecture Notes of Seminario Interdisciplinare di Matematica Vol. 13 (2016), 47–57
link
Q. Guo, J. Mederski: Ground states of nonlinear Schrödinger equations with sum of periodic and inverse-square potentials,
J. Differential Equations 260 (2016), no. 5, 4180–4202
DOI 10.1016/j.jde.2015.11.006arXiv:1412.6022
J. Mederski: Ground states of a system of nonlinear Schrödinger equations with periodic potentials,
Comm. Partial Differential Equations 41 (2016), no. 9, 1426–1440
DOI 10.1080/03605302.2016.1209520arXiv:1411.5582
J. Mederski: Ground states of time-harmonic semilinear Maxwell equations in R^3 with vanishing permittivity,
Arch. Rational Mech. Anal., 218 (2), (2015), 825-861
DOI 10.1007/s00205-015-0870-1arXiv:1406.4535
P. d'Avenia, J. Mederski: Positive ground states for a system of Schrödinger equations with critically growing nonlinearities,
Calc. Var. Partial Differential Equations 53 (2015), no. 3-4, 879–900
DOI 10.1007/s00526-014-0770-5arXiv:1403.3211
T. Bartsch, J. Mederski: Ground and Bound State Solutions of Semilinear Time-Harmonic Maxwell Equations in a Bounded Domain,
Arch. Rational Mech. Anal. 215 (1), (2015), 283-306
DOI 10.1007/s00205-014-0778-1arXiv:1310.4731
J. Mederski: Solutions to a nonlinear Schrödinger equation with periodic potential and zero on the boundary of the spectrum,
Topol. Methods Nonlinear Anal. 46 (2015), no. 2, 755–771 arXiv:1308.4320
J. Mederski: Vietoris-Begle theorems for nonclosed maps, Topol. Methods Nonlinear Anal. 41 (2013), no. 1, 191-205.
J. Mederski: Graph approximations of set-valued maps under constraints, Topol. Methods Nonlinear Anal. 39 (2012), no. 2, 361-389.
J. Mederski: Equilibria of nonconvex valued maps under constraints, J. Math. Anal. Appl. 389 (2012), no. 2, 701-704.
J. Mederski: Fiberwise absolute neighborhood extensors for a class of metrizable spaces, Topology Appl. 156 (2009), no. 13, 2295-2305.
J. Mederski, Ł. Mikulski, P. Bała: Asynchronous Parallel Molecular Dynamics Simulations,
Parallel Processing and Applied Mathematics, Lecture Notes in Computer Science Volume 4967 (2008), pp 439-446.
W. Kryszewski, J. Mederski: Fixed point index for Krasnoselskii-type set-valued maps on complete ANRs,
Topol. Methods Nonlinear Anal. 28 (2006), no. 2, 335-384.
Teaching mathematical analysis, pdes, financial and actuarial mathematics, SQL and databases - Oracle, C++ programming: