POSITIVE RADIAL SOLUTIONS FOR THE MINKOWSKI-CURVATURE EQUATION WITH NEUMANN BOUNDARY CONDITIONS

Alberto Boscaggin , Francesca Colasuonno , Benedetta Noris (1)

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

We analyze existence, multiplicity and oscillatory behavior of positive radial solutions to a class of quasilinear equations governed by the Lorentz-Minkowski mean curvature operator. The equation is set in a ball or an annulus of RN, is subject to homogeneous Neumann boundary conditions, and involves a nonlinear term on which we do not impose any growth condition at infinity. The main tool that we use is the shooting method for ODEs.

Domaines: Mathématiques [math]

Alberto Boscaggin, Francesca Colasuonno, Benedetta Noris. POSITIVE RADIAL SOLUTIONS FOR THE MINKOWSKI-CURVATURE EQUATION WITH NEUMANN BOUNDARY CONDITIONS. Discrete and Continuous Dynamical Systems - Series S, 2020, 13 (7, SI), pp.1921-1933. ⟨10.3934/dcdss.2020150⟩. ⟨hal-03623060⟩