On a prescribed mean curvature equation in Lorentz-Minkowski space
Analysis of PDEs
2015-06-26 v1
Abstract
We are interested in providing new results on a prescribed mean curvature equation in Lorentz-Minkowski space set in the whole R^N, with N >2. We study both existence and multiplicity of radial ground state solutions for p>1, emphasizing the fundamental difference between the subcritical and the supercritical case. We also study speed decay at infinity of ground states, and give some decay estimates. Finally we provide a multiplicity result on the existence of sign-changing bound state solutions for any p>1.
Keywords
Cite
@article{arxiv.1506.07747,
title = {On a prescribed mean curvature equation in Lorentz-Minkowski space},
author = {Antonio Azzollini},
journal= {arXiv preprint arXiv:1506.07747},
year = {2015}
}
Comments
25 pages