Global bifurcation of solutions of the mean curvature spacelike equation in certain Friedmann-Lemaître-Robertson-Walker spacetimes Guowei, Dai Romero Sarabia, Alfonso Torres Villarroya, Pedro José We study the existence of spacelike graphs for the prescribed mean curvature equation in the Friedmann-Lemaˆıtre-Robertson-Walker (FLRW) spacetime. By using a conformal change of variable, this problem is translated into an equivalent problem in the Lorentz-Minkowski spacetime. Then, by using Rabinowitz’s global bifurcation method, we obtain the existence and multiplicity of positive solutions for this equation with 0-Dirichlet boundary condition on a ball. Moreover, the global structure of the positive solution set is studied 2021-09-07T07:37:42Z 2021-09-07T07:37:42Z 2018 info:eu-repo/semantics/article Guowei, D., Romero Sarabia, A., Torres Villarroya, P.J.. Differential Equations vol. 264, no. 12, pp. 7242–7269, 2018. http://hdl.handle.net/10481/70127 eng http://creativecommons.org/licenses/by-nc-nd/3.0/ info:eu-repo/semantics/openAccess Creative Commons Attribution-NonCommercial-NoDerivs 3.0 License