Sonata grant: Variational Problems with Singularities Arising from Mathematical Physics
Main scientific tasks of the project
- Einstein scalar field equations of Lichnerowicz type
- Problems on noncompact manifolds
- General singular nonlinearities
- Related Schrödinger and Helmholtz equations on manifolds
- Normalized problems
- Nonlinear, singular Schrödinger equations
- Critical Hardy potentials
- Berestycki-Lions-type problems
- Related curl-curl problems
- Singular problems with fractional and higher-order operators
Scientific team
- Principal Investigator: Bartosz Bieganowski
- Post-doc (from 03.2024 to 02.2026): Daniel Strzelecki
- PhD student: from October 2024; to be announced
Collaborators involved in the project
- Laura Baldelli (Institute of Mathematics, University of Granada)
- Pietro d'Avenia (Dipartimento di Meccanica, Matematica e Managemen, Politecnico di Bari)
- Jarosław Mederski (Institute of Mathematics, Polish Academy of Sciences)
- Jacopo Schino (Faculty of Mathematics, Informatics and Mechanics, University of Warsaw)
- Simone Secchi (Dipartimento di Matematica e Applicazioni, Universita' di Milano Bicocca)
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