Projects funded by the NCN

Information on the principal investigator and host institution

Information of the project and the call

Keywords

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Ground states and bound states of nonlinear Schrödinger equations

2014/15/D/ST1/03638

Keywords:

nonlinear Schrödinger equation variational methods strongly indefinite energy functional ground states bound states

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 Jarosław Mederski 

Number of co-investigators in the project: 1

Call: SONATA 8 - announced on 2014-09-15

Amount awarded: 152 600 PLN

Project start date (Y-m-d): 2015-07-15

Project end date (Y-m-d): 2018-07-14

Project duration:: 36 months (the same as in the proposal)

Project status: Project settled

Equipment purchased [PL]

  1. Komputer przenośny (laptop) (7 000 PLN)

Information in the final report

  • Publication in academic press/journals (9)
  1. Ground states of nonlinear Schrödinger equations with sum of periodic and inverse-square potentials
    Authors:
    Qianqiao Guo, Jarosław Mederski
    Academic press:
    Journal of Differential Equations (rok: 2016, tom: 260 (5), strony: 4180-4202), Wydawca: Elsevier
    Status:
    Published
    DOI:
    10.1016/j.jde.2015.11.006 - link to the publication
  2. Nonlinear time-harmonic Maxwell equations in domains
    Authors:
    Thomas Bartsch, Jarosław Mederski
    Academic press:
    Journal of Fixed Point Theory and Applications (rok: 2017, tom: 19 no. 1, strony: 959-986), Wydawca: Springer Birkhäuser Basel
    Status:
    Published
    DOI:
    10.1007/s11784-017-0409-1 - link to the publication
  3. Nonlinear Schrödinger equations with sum of periodic and vanishig potentials and sign-changning nonlinearities
    Authors:
    Bartosz Bieganowski, Jarosław Mederski
    Academic press:
    Communications on Pure and Applied Analysis (rok: 2018, tom: 17(1), strony: 143-161), Wydawca: AIMS
    Status:
    Published
    DOI:
    10.3934/cpaa.2018009 - 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: Elselvier
    Status:
    Published
    DOI:
    10.1016/j.aml.2018.08.021 - link to the publication
  5. Ground states of a system of nonlinear Schrödinger equations with periodic potentials
    Authors:
    Jarosław Mederski
    Academic press:
    Communications in Partial Differential Equations (rok: 2016, tom: 41 (9), strony: 1426-1440), Wydawca: Taylor & Francis
    Status:
    Published
    DOI:
    10.1080/03605302.2016.1209520 - link to the publication
  6. Nonlinear time-harmonic Maxwell equations in an anisotropic bounded medium
    Authors:
    Thomas Bartsch, Jarosław Mederski
    Academic press:
    Journal of Functional Analysis (rok: 2017, tom: 272 no. 10, strony: 4304-4333), Wydawca: Elsevier
    Status:
    Published
    DOI:
    10.1016/j.jfa.2017.02.019 - link to the publication
  7. Vortex ground states for Klein-Gordon-Maxwell-Proca type systems
    Authors:
    Pietro d'Avenia, Jarosław Mederski, Alessio Pomponio
    Academic press:
    Journal of Mathematical Physics (rok: 2017, tom: 58 no. 4, strony: 041503, 19 pp), Wydawca: AIP Publishing
    Status:
    Published
    DOI:
    10.1063/1.4982038 - link to the publication
  8. Nonradial solutions of nonlinear scalar field equations
    Authors:
    Jarosław Mederski
    Academic press:
    Advances in Mathematics , Wydawca: Elsevier
    Status:
    Submitted
    DOI:
    brak - link to the publication
  9. The Brezis-Nirenberg problem for the curl-curl operator
    Authors:
    Jarosław Mederski
    Academic press:
    Journal of Functional Analysis (rok: 2018, tom: 274 (5), strony: 1345-1380), Wydawca: Elsevier
    Status:
    Published
    DOI:
    10.1016/j.jfa.2017.12.012 - link to the publication

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