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

Alberto Boscaggin, Francesca Colasuonno, Benedetta Noris
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.
doi:10.6092/issn.2240-2829/10577 fatcat:otpynrlv5bdmnpfhfysj2bg7ke