Topic outline

  • Research goals

    • Zastosowanie metod wariacyjnych w badaniu rozwiązalności równań eliptycznych opisujących zjawiska fizyczne na dziedzinach fraktalnych; analiza rozwiązalności równań różnicowych i równań na grafach;

  • Publications

    • 1) Marek Galewski, Marcin Koniorczyk, On a global implicit function theorem and some applications to integro-differential initial value problems, Acta Mathematica Hungarica (15 pkt.), 148/ (2016), 257-278, JCR
      2) Marek Galewski, Renata Wieteska, Existence and multiplicity results for boundary value problems connected with the discrete p ( ·) −Laplacian on weighted finite graphs, Applied Mathematics and Computation (35 pkt.), 290 (2016), 376–391, JCR
      3) Marek Galewski, Optimization problems on the Sierpinski gasket, Electronic Journal of Differential Equations (25 pkt.), 105 (2016), 1-11, JCR
      4) Marek Galewski, Ewa Schmeidel, On the well posed solutions for nonlinear second order neutral difference equations, Mathematica Slovaca (15 pkt.), 66 (4) (2016), 1–12, JCR
      5) Marek Galewski, A note on a global invertibility of mappings on \(\mathbb{R}^n\),, Quaestiones Mathematicae (20 pkt.), 39 (2016), 683-688,JCR
      6) Marek Galewski, Giovanni Molica Bisci, Renata Wieteska, Existence and multiplicity of solutions to discrete inclusions with the p(k)- Laplacian problem, J. Differ. Equ. Appl, , (2015), DOI: 10.1080/10236198.2015.1056177, JCR
      7) Marek Galewski, Ewa Schmeidel, Non-spurious solutions to discrete boundary value problems through variational methods, Journal of Difference Equations and Applications, . (2015), DOI: 10.1080/10236198.2015.1067694, JCR
      8) Marek Galewski, Giovanni Molica Bisci, Existence results for one-dimensional fractional equations, Math. Models Methods Appl. Sci., , (2015), DOI: 10.1002/mma.3582, JCR
      9) Marek Galewski, Marcin Koniorczyk, On a global diffeomorphism between two Banach spaces and some application, Studia Scientiarum Mathematicarum Hungarica, 52 (2015), 65–86, JCR
      10) Marek Galewski, On a new multiple critical point theorem and some applications to anisotropic problems, Taiwanese J. Math., 5 (2015), 1495-1508 JCR
      11) Marek Galewski, Andrzej Nowakowski, Donal O’Regan, Aleksandra Orpel, The dual variational method for n-th order ODEs with multipoint boundary conditions, Applicable Analysis, 5 (2014), 957–971, JCR
      12) Marek Galewski, Piotr Kowalski, Three solutions to discrete anisotropic problems with two parameters, Cent. Eur. J. Math., 12 (2014), 1403-1415, JCR
      13) Marek Galewski, Renata Wieteska, Multiple periodic solutions to a discrete p(k) - Laplacian problem, Discrete Contin. Dyn. Syst. Ser. B, 19 (8) (2014), 2535 - 2547, JCR