MULTIPLICITY OF SOLUTIONS FOR THE MINKOWSKI-CURVATURE EQUATION VIA SHOOTING METHOD

Alberto Boscaggin , Francesca Colasuonno , Benedetta Noris (1)

1 LAMFA - Laboratoire Amiénois de Mathématique Fondamentale et Appliquée - UMR CNRS 7352

In this paper we prove the existence and the multiplicity of radial positive oscillatory solutions for a nonlinear problem governed by the mean curvature operator in the Lorentz-Minkowski space. The problem is set in an N-dimensional ball and is subject to Neumann boundary conditions. The main tool used is the shooting method for ODEs.

Domaines: Mathématiques [math]

Alberto Boscaggin, Francesca Colasuonno, Benedetta Noris. MULTIPLICITY OF SOLUTIONS FOR THE MINKOWSKI-CURVATURE EQUATION VIA SHOOTING METHOD. Bruno Pini Mathematical Analysis Seminar, 2020, 11 (1), pp.1-17. ⟨hal-03623062⟩