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

Abstract

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 a ball $B_R$ of ${\mathbb{R}}^N$ and is subject to Neumann boundary conditions. The main tool used is the shooting method for ODEs.

18 pages, 4 figures