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 BR of RN and is subject to Neumann boundary conditions. The main tool used is the shooting method for ODEs.

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