Bifurcation and Calabi-Bernstein type asymptotic property of solutions for the one-dimensional Minkowski-curvature equation

DOI10.1016/J.JMAA.2021.125725zbMath1487.34064OpenAlexW3202041430MaRDI QIDQ2247699

Yanyan Li

Publication date: 17 November 2021

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2021.125725

zbMATH Keywords

bifurcationsublinearsingular weightCalabi-Bernstein typeMinkowski-curvature problemsWhyburn's limit argument

Mathematics Subject Classification ID

Bifurcation theory for ordinary differential equations (34C23) Singular nonlinear boundary value problems for ordinary differential equations (34B16) Boundary eigenvalue problems for ordinary differential equations (34B09)

Related Items (3)

Existence of positive solutions for one dimensional Minkowski curvature problem with singularity ⋮ A constructive approach about the existence of positive solutions for Minkowski curvature problems ⋮ Multiplicity and Calabi-Bernstein type asymptotic property of positive solutions for one-dimensional Minkowski-curvature problems

Cites Work

• Unnamed Item
• Unnamed Item
• Bifurcation and positive solutions for problem with mean curvature operator in Minkowski space
• Positive radial solutions of the Dirichlet problem for the Minkowski-curvature equation in a ball
• Global structure of positive solutions for nonlocal boundary value problems involving integral conditions
• Global structure of positive solutions for superlinear second order \(m\)-point boundary value problems
• 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
• New examples of Calabi-Bernstein problems for some nonlinear equations.
• Positive radial solutions for Dirichlet problems with mean curvature operators in Minkowski space
• \(\frac{\pi}{4}\)-tangentiality of solutions for one-dimensional Minkowski-curvature problems
• Bifurcation of nodal radial solutions for a prescribed mean curvature problem on an exterior domain
• Nodal solutions to problem with mean curvature operator in Minkowski space.
• Multiple positive radial solutions for a Dirichlet problem involving the mean curvature operator in Minkowski space
• Calabi-Bernstein-type problems for some nonlinear equations arising in Lorentzian geometry
• Radial solutions for some nonlinear problems involving mean curvature operators in Euclidean and Minkowski spaces
• Positive Solutions of the Dirichlet Problem for the One-dimensional Minkowski-Curvature Equation
• Global structure of radial positive solutions for a prescribed mean curvature problem in a ball

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