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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Analysis of travelling waves in semilinear elliptic problems

2020/37/B/ST1/02742

Keywords:

variational methods critical point theory spectral theory elliptic regularity theory Gross-Pitaevskii equation Bose-Einstein condensates electromagnetic wave equation

Descriptors:

  • ST1_011:

Panel:

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

Host institution :

Instytut Matematyczny Polskiej Akademii Nauk

woj. mazowieckie

Other projects carried out by the institution 

Principal investigator (from the host institution):

dr hab. Jarosław Szymon Mederski 

Number of co-investigators in the project: 3

Call: OPUS 19 - announced on 2020-03-16

Amount awarded: 488 820 PLN

Project start date (Y-m-d): 2021-01-15

Project end date (Y-m-d): 2024-03-14

Project duration:: 38 months (the same as in the proposal)

Project status: Project settled

Project description

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

Information in the final report

  • Publication in academic press/journals (8)
  1. Travelling waves for Maxwell's equations in nonlinear and nonsymmetric media
    Authors:
    Jarosław Mederski, Wolfgang Reichel
    Academic press:
    Nonlinear Differential Equations and Applications NoDEA (rok: 2023, tom: 30, strony: 22), Wydawca: Birkhauser
    Status:
    Published
    DOI:
    10.1007/s00030-022-00824-w - link to the publication
  2. A note on the point-wise behaviour of bounded solutions for a non-standard elliptic operator
    Authors:
    Laura Baldelli, Simone Ciani, Igor Skrypnik, Vincenzo Vespri
    Academic press:
    Discrete and Continuous Dynamical Systems - Series S (rok: 2022, tom: -, strony: 45672), Wydawca: American Institute of Mathematical Sciences
    Status:
    Published
    DOI:
    10.3934/dcdss.2022143 - link to the publication
  3. Multiplicity results for generalized quasilinear critical Schrödinger equations in R^N
    Authors:
    Laura Baldelli, Roberta Filippucci
    Academic press:
    NoDEA Nonlinear Differential Equations and Applications (rok: 2023, tom: 1,29722222222222, strony: 45688), Wydawca: Birkhauser
    Status:
    Published
    DOI:
    10.1007/s00030-023-00897-1 - link to the publication
  4. Generation of vortices in the Ginzburg-Landau heat flow
    Authors:
    Michał Kowalczyk, Xavier Lamy
    Academic press:
    Annales de l'Institut Henri Poincaré, Analyse Non Linéaire (rok: 2023, tom: -, strony: 45675), Wydawca: Elselvier
    Status:
    Published
    DOI:
    10.4171/aihpc/96 - link to the publication
  5. Travelling waves for Maxwell's equations in nonlinear and nonsymmetric media
    Authors:
    Jarosław Mederski, Wolfgang Reichel
    Academic press:
    Nonlinear Differential Equations and Applications NoDEA (rok: 2023, tom: 30, strony: 22), Wydawca: Birkhauser
    Status:
    Published
    DOI:
    10.1007/s00030-022-00824-w - link to the publication
  6. Existence and nonexistence of positive radial solutions of a quasilinear Dirichlet problem with diffusion
    Authors:
    Laura Baldelli, Valentina Brizi, Roberta Filippucci
    Academic press:
    Journal of Differential Equations (rok: 2023, tom: 359, strony: 107-151), Wydawca: Elsevier
    Status:
    Published
    DOI:
    10.1016/j.jde.2023.02.034 - link to the publication
  7. Generation of vortices in the Ginzburg-Landau heat flow
    Authors:
    Michał Kowalczyk, Xavier Lamy
    Academic press:
    Annales de l'Institut Henri Poincaré, Analyse Non Linéaire (rok: 2023, tom: -, strony: 45675), Wydawca: Elselvier
    Status:
    Published
    DOI:
    10.4171/aihpc/96 - link to the publication
  8. Multiplicity results for generalized quasilinear critical Schrödinger equations in R^N
    Authors:
    Laura Baldelli, Roberta Filippucci
    Academic press:
    NoDEA Nonlinear Differential Equations and Applications (rok: 2023, tom: 129722222222222, strony: 45688), Wydawca: Birkhauser
    Status:
    Published
    DOI:
    10.1007/s00030-023-00897-1 - link to the publication