@misc{10481/70127, year = {2018}, url = {http://hdl.handle.net/10481/70127}, abstract = {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}, title = {Global bifurcation of solutions of the mean curvature spacelike equation in certain Friedmann-Lemaître-Robertson-Walker spacetimes}, author = {Guowei, Dai and Romero Sarabia, Alfonso and Torres Villarroya, Pedro José}, }