@misc{10481/64064,
year = {2020},
url = {http://hdl.handle.net/10481/64064},
abstract = {We study the existence/nonexistence and multiplicity of spacelike graphs for the following mean curvature equation in a standard static spacetime

div (a del u/root 1-a(2)vertical bar del u vertical bar(2)) + g (del u, del a)/root 1-a(2)vertical bar del u vertical bar(2) = lambda NH

with 0-Dirichlet boundary condition on the unit ball. According to the behavior of H near 0, we obtain the global structure of one-sign radial spacelike graphs for this problem. Moreover, we also obtain the existence and multiplicity of entire spacelike graphs.},
organization = {National Natural Science Foundation of China (NSFC)

11871129},
organization = {Xinghai Youqing funds from Dalian University of Technology},
organization = {Spanish MINECO},
organization = {European Union (EU)

MTM2016-78807-C2-1-P
MTM2017-82348-C2-1-P},
publisher = {AMER INST MATHEMATICAL SCIENCES-AIMS},
keywords = {Bifurcation},
keywords = {Mean curvature operator},
keywords = {One-sign solution},
title = {Global bifurcation of solutions of the mean curvature spacelike equation in certain standard static spacetimes},
doi = {10.3934/dcdss.2020118},
author = {Dai, Guowei and Romero Sarabia, Alfonso and Torres Villarroya, Pedro José},
}