Projects funded by the NCN

Information on the principal investigator and host institution

Information of the project and the call

Keywords

Equipment

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Nonlinear Schrödinger equations with sign-changing nonlinearities

2017/25/N/ST1/00531

Keywords:

nonlinear Schrödinger equation variational methods ground states semiclassical states sign-changing nonlinearities

Descriptors:

  • ST1_11: Partial differential equations
  • ST1_12: Mathematical methods of physics

Panel:

ST1 - Mathematics: all areas of mathematics, pure and applied, as well as mathematical foundations of computer science, physics and statistics

Host institution :

Uniwersytet Mikołaja Kopernika, Wydział Matematyki i Informatyki

woj. kujawsko-pomorskie

Other projects carried out by the institution 

Principal investigator (from the host institution):

dr Bartosz Bieganowski 

Number of co-investigators in the project: 2

Call: PRELUDIUM 13 - announced on 2017-03-15

Amount awarded: 72 108 PLN

Project start date (Y-m-d): 2018-01-30

Project end date (Y-m-d): 2022-01-29

Project duration:: 48 months (the same as in the proposal)

Project status: Project settled

Project description

Download the project description in a pdf file

Note - project descriptions were prepared by the authors of the applications themselves and placed in the system in an unchanged form.

Equipment purchased [PL]

  1. Komputer przenośny (laptop) (3 900 PLN)

Information in the final report

  • Publication in academic press/journals (11)
  1. Systems of coupled Schrödinger equations with sign-changing nonlinearities via classical Nehari manifold approach
    Authors:
    Bartosz Bieganowski
    Academic press:
    Complex Variables and Elliptic Equations (rok: 2019, tom: 64, strony: 1237-1256), Wydawca: Taylor & Francis
    Status:
    Published
    DOI:
    10.1080/17476933.2018.1514029 - link to the publication
  2. The semirelativistic Choquard equation with a local nonlinear term
    Authors:
    Bartosz Bieganowski, Simone Secchi
    Academic press:
    Discrete and Continuous Dynamical Systems - Series A (rok: 2019, tom: 37, strony: 4279-4302), Wydawca: American Institute of Mathematical Sciences
    Status:
    Published
    DOI:
    10.3934/dcds.2019173 - link to the publication
  3. Non-local to local transition for ground states of fractional Schrödinger equations on bounded domains
    Authors:
    Bartosz Bieganowski, Simone Secchi
    Academic press:
    Topological Methods in Nonlinear Analysis (rok: 2021, tom: 57, strony: 413-425), Wydawca: Juliusz Schauder University Centre for Nonlinear Studies
    Status:
    Published
    DOI:
    10.12775/TMNA.2020.038 - link to the publication
  4. Note on semiclassical states for the Schrödinger equation with nonautonomous nonlinearities
    Authors:
    Bartosz Bieganowski, Jarosław Mederski
    Academic press:
    Applied Mathematics Letters (rok: 2019, tom: 88, strony: 149-155), Wydawca: Elsevier
    Status:
    Published
    DOI:
    10.1016/j.aml.2018.08.021 - link to the publication
  5. Bound states for the Schrödinger equation with mixed-type nonlinearites
    Authors:
    Bartosz Bieganowski, Jarosław Mederski
    Academic press:
    Indiana University Mathematics Journal (rok: 2022, tom: 71, strony: 65-92), Wydawca: Indiana University
    Status:
    Published
    DOI:
    10.1512/iumj.2022.71.8662 - link to the publication
  6. Non-local to local transition for ground states of fractional Schrödinger equations on ℝN
    Authors:
    Bartosz Bieganowski, Simone Secchi
    Academic press:
    Journal of Fixed Point Theory and Applications (rok: 2020, tom: 22, strony: 45306), Wydawca: Springer
    Status:
    Published
    DOI:
    10.1007/s11784-020-00812-6 - link to the publication
  7. Normalized ground states of the nonlinear Schrödinger equation with at least mass critical growth
    Authors:
    Bartosz Bieganowski, Jarosław Mederski
    Academic press:
    Journal of Functional Analysis (rok: 2021, tom: 280, strony: 45317), Wydawca: Elsevier
    Status:
    Published
    DOI:
    10.1016/j.jfa.2021.108989 - link to the publication
  8. The fractional Schrödinger equation with Hardy-type potentials and sign-changing nonlinearities
    Authors:
    Bartosz Bieganowski
    Academic press:
    Nonlinear Analysis (rok: 2018, tom: 176, strony: 117-140), Wydawca: Elsevier
    Status:
    Published
    DOI:
    10.1016/j.na.2018.06.009 - link to the publication
  9. Generalized linking-type theorem with applications to strongly indefinite problems with sign-changing nonlinearities
    Authors:
    Federico Bernini, Bartosz Bieganowski
    Academic press:
    Calculus of Variations and Partial Differential Equations (rok: 2021, ), Wydawca: Springer
    Status:
    Submitted
    DOI:
    brak - link to the publication
  10. Semirelativistic Choquard equations with singular potentials and general nonlinearities arising from Hartree-Fock theory
    Authors:
    Federico Bernini, Bartosz Bieganowski, Simone Secchi
    Academic press:
    Nonlinear Analysis (rok: 2022, tom: 217, strony: 45317), Wydawca: Elsevier
    Status:
    Published
    DOI:
    10.1016/j.na.2021.112738 - link to the publication
  11. Solutions to a nonlinear Maxwell equation with two competing nonlinearities in ℝ3
    Authors:
    Bartosz Bieganowski
    Academic press:
    Bulletin of the Polish Academy of Sciences, Mathematics (rok: 2021, tom: 69, strony: 37-60), Wydawca: Instytut Matematyczny Polskiej Akademii Nauk
    Status:
    Published
    DOI:
    10.4064/ba210731-19-8 - link to the publication

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