Prescribed mean curvature graphs with Neumann boundary conditions in some FLRW spacetimes

DOI10.1016/j.jde.2016.09.013zbMath1351.35219OpenAlexW2521531599MaRDI QIDQ329266

Jean Mawhin, Pedro J. Torres

Publication date: 21 October 2016

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jde.2016.09.013

zbMATH Keywords

quasilinear elliptic equationNeumann boundary conditionradially symmetric solutionssingular \(\phi\)-LaplacianFriedmann-Lemaître-Robertson-Walker spacetimeprescribed mean curvature function

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Relativistic cosmology (83F05) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Differential geometry of immersions (minimal, prescribed curvature, tight, etc.) (53C42) Global differential geometry of Lorentz manifolds, manifolds with indefinite metrics (53C50) PDEs in connection with relativity and gravitational theory (35Q75) Quasilinear elliptic equations with mean curvature operator (35J93) Topological and monotonicity methods applied to PDEs (35A16)

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Cites Work

• Radial solutions of Neumann problem for periodic perturbations of the mean extrinsic curvature operator
• Spacelike hypersurfaces with prescribed boundary values and mean curvature
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