Analysis of travelling waves in semilinear elliptic problems

2020/37/B/ST1/02742

Keywords

Descriptors

  • ST1_011: Równania różniczkowe cząstkowe

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

Voivodeship: 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
2021-01-15
Project end date
2024-03-14
Project duration
38 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.

Information in the final report

Publication in academic press/journals (5)

  1. Multiplicity results for generalized quasilinear critical Schrödinger equations in R^N

    Authors:
    Laura Baldelli, Roberta Filippucci
    Academic press:
    NoDEA Nonlinear Differential Equations and Applications (year: 2023, volume: 1,29722222222222, pages: 46053), Publisher: Birkhauser
    Status:
    Published
    DOI:
    10.1007/s00030-023-00897-1 – link to the publication
  2. Travelling waves for Maxwell's equations in nonlinear and nonsymmetric media

    Authors:
    Jarosław Mederski, Wolfgang Reichel
    Academic press:
    Nonlinear Differential Equations and Applications NoDEA (year: 2023, volume: 30, pages: 22), Publisher: Birkhauser
    Status:
    Published
    DOI:
    10.1007/s00030-022-00824-w – link to the publication
  3. 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 (year: 2022, volume: -, pages: 46037), Publisher: American Institute of Mathematical Sciences
    Status:
    Published
    DOI:
    10.3934/dcdss.2022143 – 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 (year: 2023, volume: -, pages: 46040), Publisher: Elselvier
    Status:
    Published
    DOI:
    10.4171/aihpc/96 – link to the publication
  5. 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 (year: 2023, volume: 359, pages: 107-151), Publisher: Elsevier
    Status:
    Published
    DOI:
    10.1016/j.jde.2023.02.034 – link to the publication

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