Global structure of a nodal solutions set of mean curvature equation in static spacetime

DOI10.1007/S10473-022-0520-2OpenAlexW4287838605MaRDI QIDQ2161535

Guowei Dai, Hua Luo

Publication date: 4 August 2022

Published in: Acta Mathematica Scientia. Series B. (English Edition) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10473-022-0520-2

zbMATH Keywords

bifurcationnodal solutionmean curvature operatorstatic spacetime

Mathematics Subject Classification ID

Bifurcation theory for ordinary differential equations (34C23) Minimal surfaces in differential geometry, surfaces with prescribed mean curvature (53A10) Boundary eigenvalue problems for ordinary differential equations (34B09)

Cites Work

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• Bifurcation and positive solutions for problem with mean curvature operator in Minkowski space
• Two Whyburn type topological theorems and its applications to Monge-Ampère equations
• Spacelike hypersurfaces with prescribed boundary values and mean curvature
• H-surfaces in Lorentzian manifolds
• Entire spacelike hypersurfaces of constant mean curvature in Minkowski space
• Maximal space-like hypersurfaces in the Lorentz-Minkowski spaces
• Global structure of positive solutions for problem with mean curvature operator on an annular domain
• Global bifurcation of solutions of the mean curvature spacelike equation in certain Friedmann-Lemaître-Robertson-Walker spacetimes
• Positive radial solutions for Dirichlet problems with mean curvature operators in Minkowski space
• Positive solutions of the Dirichlet problem for the prescribed mean curvature equation in Minkowski space
• Nodal solutions to problem with mean curvature operator in Minkowski space.
• Bifurcation and admissible solutions for the Hessian equation
• Global bifurcation for problem with mean curvature operator on general domain
• Multiple positive radial solutions for a Dirichlet problem involving the mean curvature operator in Minkowski space
• Some global results for nonlinear eigenvalue problems
• The Dirichlet Problem with Mean Curvature Operator in Minkowski Space – a Variational Approach
• Bifurcation and nonnegative solutions for problem with mean curvature operator on general domain
• Corrigendum: Entire spherically symmetric spacelike graphs with prescribed mean curvature function in Schwarzschild and Reissner–Nordström spacetimes (2015 Class. Quantum Grav . 32 035018)
• Entire spherically symmetric spacelike graphs with prescribed mean curvature function in Schwarzschild and Reissner–Nordström spacetimes

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