@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}, }