Global bifurcation of solutions of the mean curvature spacelike equation in certain Friedmann-Lemaître-Robertson-Walker spacetimes
Identificadores
URI: http://hdl.handle.net/10481/70127Metadatos
Mostrar el registro completo del ítemFecha
2018Referencia bibliográfica
Guowei, D., Romero Sarabia, A., Torres Villarroya, P.J.. Differential Equations vol. 264, no. 12, pp. 7242–7269, 2018.
Resumen
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