Global bifurcation of solutions of the mean curvature spacelike equation in certain standard static spacetimes Dai, Guowei Romero Sarabia, Alfonso Torres Villarroya, Pedro José Bifurcation Mean curvature operator One-sign solution 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. 2020-11-05T08:09:30Z 2020-11-05T08:09:30Z 2020 info:eu-repo/semantics/article Dai, G., Romero, A., & Torres, P. J. Global bifurcation of solutions of the mean curvature spacelike equation in certain standard static spacetimes. DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS SERIES S Volume 13, Number 11, November 2020, pp. 3047–3071. [doi: 10.3934/dcdss.2020118] http://hdl.handle.net/10481/64064 10.3934/dcdss.2020118 eng http://creativecommons.org/licenses/by-nc-nd/3.0/es/ info:eu-repo/semantics/openAccess Atribución-NoComercial-SinDerivadas 3.0 España AMER INST MATHEMATICAL SCIENCES-AIMS