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

Alberto Boscaggin; Francesca Colasuonno; Benedetta Noris

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

Analysis of PDEs 2020-04-01 v1

Authors: Alberto Boscaggin , Francesca Colasuonno , Benedetta Noris

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.

Keywords

minkowski-curvature equation radial positive oscillatory solutions shooting method mean curvature operator neumann boundary conditions

Cite

@article{arxiv.1911.13109,
  title  = {Multiplicity of solutions for the Minkowski-curvature equation via shooting method},
  author = {Alberto Boscaggin and Francesca Colasuonno and Benedetta Noris},
  journal= {arXiv preprint arXiv:1911.13109},
  year   = {2020}
}

Comments

18 pages, 4 figures

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