Multiplicity of solutions for the Minkowski-curvature equation via shooting method

Alberto Boscaggin; Francesca Colasuonno; Benedetta Noris

doi:10.6092/issn.2240-2829/10577

Autori

Alberto Boscaggin Dipartimento di Matematica "Giuseppe Peano" Università di Torino via Carlo Alberto 10, 10123 Torino
Francesca Colasuonno Dipartimento di Matematica "Giuseppe Peano" Università di Torino via Carlo Alberto 10, 10123 Torino http://orcid.org/0000-0003-2671-029X
In 2012, She obtained the PhD in Mathematics at the University of Bari. In the period 2013-2018, She was a Postdoctoral Fellow first at the Polytechnic University of Turin, then at the Université Libre de Bruxelles, and finally at the University of Bologna. Since March 2018 She is an Untenured Assistant Professor at the Department of Mathematics of the University of Turin.
Benedetta Noris Laboratoire Amiénois de Mathématique Fondamentale et Appliquée Université de Picardie Jules Verne 33 rue Saint-Leu, 80039 AMIENS

DOI:

https://doi.org/10.6092/issn.2240-2829/10577

Parole chiave:

Lorentz-Minkowski mean curvature operator, Shooting method, Existence and multiplicity, Oscillatory solutions, Neumann boundary conditions

Abstract

In questo lavoro dimostriamo esistenza e molteplicità di soluzioni oscillanti, radiali e positive di un problema non-lineare governato dall'operatore di curvatura media nello spazio di Lorentz-Minkowski. Il problema è ambientato in una palla N-dimensionale ed è soggetto a condizioni di Neumann al bordo. Il principale strumento usato è il metodo di shooting per le EDO.

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