Interests:

• mathematics: Schrödinger-type equations, variational methods in critical point theory, Nehari manifold method
• computer science: management of Windows and Windows Server, security of computer networks and operating systems, virtualization, parallel and distributed computations and algorithms

Publications:

1. F. Bernini, B. Bieganowski, S. Secchi: Semirelativistic Choquard equations with singular potentials and general nonlinearities arising from Hartree-Fock theory,
   submitted, arXiv:2102.02168
2. B. Bieganowski: Solutions to a nonlinear Maxwell equation with two competing nonlinearities in ℝ³,
   submitted, arXiv:2010.02000
3. B. Bieganowski, J. Mederski: Normalized ground states of the nonlinear Schrödinger equation with at least mass critical growth,
   J. Funct. Anal. (2021), published online, DOI 10.1016/j.jfa.2021.108989
4. B. Bieganowski, A. Dymek, D. Strzelecki: [in polish] Średnie w zawodach studenckich,
   Delta 12 (547), 2019, p. 18-19, link
5. B. Bieganowski, S. Secchi: Non-local to local transition for ground states of fractional Schrödinger equations on ℝ^N,
   J. Fixed Point Theory Appl. 22, 76 (2020), DOI 10.1007/s11784-020-00812-6
6. B. Bieganowski, S. Secchi: Non-local to local transition for ground states of fractional Schrödinger equations on bounded domains,
   Topol. Methods Nonlinear Anal. (2021), published online, DOI 10.12775/TMNA.2020.038
7. B. Bieganowski, J. Mederski: Bound states for the Schrödinger equation with mixed-type nonlinearites,
   submitted, arXiv:1905.04542
8. B. Bieganowski: Schrödinger-type equations with sign-changing nonlinearities: a survey,
   survey, arXiv:1810.01754
9. B. Bieganowski, J. Mederski: Note on semiclassical states for the Schrödinger equation with nonautonomous nonlinearities,
   Appl. Math. Lett., Vol. 88 (2019), p. 149-155, DOI 10.1016/j.aml.2018.08.021
10. B. Bieganowski: [in polish] Narzędzia informatyczne w nauczaniu przedmiotów przyrodniczych,
    w: A.B. Kwiatkowska, M.M. Sysło [red.]: Informatyka w edukacji. Myśl komputacyjnie!, Toruń 2018, ISBN: 978-83-231-4049-8, p. 102-108
11. B. Bieganowski, S. Secchi: The semirelativistic Choquard equation with a local nonlinear term,
    Discrete & Continuous Dynamical Systems - A, Vol. 37, no 7 (2019), p. 4279-4302 DOI 10.3934/dcds.2019173
12. B. Bieganowski: Systems of coupled Schrödinger equations with sign-changing nonlinearities via classical Nehari manifold approach,
    Complex Var. Elliptic Equ., Vol. 64, Issue 7 (2019), p. 1237-1256, DOI 10.1080/17476933.2018.1514029
13. B. Bieganowski: The fractional Schrödinger equation with Hardy-type potentials and sign-changing nonlinearities,
    Nonlinear Analysis, Vol. 176 (2018), p. 117-140 DOI 10.1016/j.na.2018.06.009
14. B. Bieganowski, T. Cieślak, K. Fujie, T. Senba: Boundedness of solutions to the critical fully parabolic quasilinear one-dimensional Keller-Segel system,
    Math. Nachr., Vol. 292, Issue 4 (2019), p. 724-732, DOI 10.1002/mana.201800175
15. B. Bieganowski: Solutions of the fractional Schrödinger equation with a sign-changing nonlinearity,
    J. Math. Anal. Appl., Vol. 450, Issue 1 (2017), p. 461-479 DOI 10.1016/j.jmaa.2017.01.037
16. B. Bieganowski, J. Mederski: Nonlinear Schrödinger equations with sum of periodic and vanishing potentials and sign-changing nonlinearities,
    Commun. Pure Appl. Anal., Vol. 17, Issue 1 (2018), p. 143-161 DOI 10.3934/cpaa.2018009

Selected achievements:

• 2018-2019: scholarship of Ministry of Science and Higher Education for achievements in PhD studies
• 30.01.2018 - 29.09.2021: PI of a grant Preludium - National Science Centre, Poland (Grant No. 2017/25/N/ST1/00531)
• 2017: first prize and golden medal in Nicolai Copernici International Students Contest
• 09.2016 - ...: member of District Committee of Polish Mathematical Olympiad (www)
• 2015: second prize in LIX Józef Marcinkiewicz competition for the best student paper in mathematics
• 2015: second prize in North Countries Universities Mathematical Competition
• 2014-2015: scholarship of Ministry of Science and Higher Education for achievements in studies
• 2014: third prize in William Lowell Putnam Mathematical Competition
• 2014: diploma for outstanding academic results in 2013/2014
• 2014: the grant within the program "Generacja Przyszłosci"
• 2014: third prize in International Mathematics Competition for University Students
• 2013: third prize in William Lowell Putnam Mathematical Competition
• 09.2011 - ...: member of Organization Committee of International Challenge on Informatics and Computational Thinking Bebras (www)

Certifications:

• CCNA: Network Fundamentals
• CCNA: Routing Protocols and Concepts
• IBM SPSS Technology Junior Expert
• Microsoft ITA105 Object Oriented Programming
• Microsoft ITA133 Mobile Device Programming