Existence and multiplicity of entire radial spacelike graphs with prescribed mean curvature function in certain Friedmann–Lemaître–Robertson–Walker spacetimes

DOI10.1142/S0219199716500061zbMath1368.35154OpenAlexW2230169940MaRDI QIDQ2974066

Alfonso Romero, Daniel de la Fuente, Pedro J. Torres, Cristian Bereanu

Publication date: 6 April 2017

Published in: Communications in Contemporary Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0219199716500061

zbMATH Keywords

quasilinear elliptic equationDirichlet boundary conditionFriedmann-Lemaître-Robertson-Walker spacetimeprescribed mean curvature functionentire spacelike graph

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Local differential geometry of Lorentz metrics, indefinite metrics (53B30) Quasilinear elliptic equations with mean curvature operator (35J93)

Related Items

Uniqueness and multiplicity of positive solutions for one-dimensional prescribed mean curvature equation in Minkowski space ⋮ Infinitely many sign-changing solutions of the Neumann problem in some FLRW spacetimes ⋮ Global bifurcation of positive solutions of a quasilinear indefinite Neumann problem in some FLRW spacetimes ⋮ Nonspurious solutions of the Dirichlet problem for the prescribed mean curvature spacelike equation in a Friedmann-Lemaître-Robertson-Walker spacetime ⋮ Global bifurcation of solutions of the mean curvature spacelike equation in certain Friedmann-Lemaître-Robertson-Walker spacetimes ⋮ The Dirichlet problem for gradient dependent prescribed mean curvature equations in the Lorentz-Minkowski space ⋮ Heteroclinic solutions of singular quasilinear bistable equations ⋮ Multiplicity and Calabi-Bernstein type asymptotic property of positive solutions for one-dimensional Minkowski-curvature problems

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