Lyapunov-type inequalities for one-dimensional Minkowski-curvature problems

DOI10.1016/J.AML.2018.11.006zbMath1472.34043OpenAlexW2901090987WikidataQ128882954 ScholiaQ128882954MaRDI QIDQ1726653

Xianqiang Yang

Publication date: 20 February 2019

Published in: Applied Mathematics Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.aml.2018.11.006

zbMATH Keywords

Lyapunov-type inequalitysingular weightMinkowski-curvature

Mathematics Subject Classification ID

Nonlinear boundary value problems for ordinary differential equations (34B15) Inequalities for sums, series and integrals (26D15)

Related Items (6)

Nonzero solutions for nonlinear systems of fourth-order boundary value problems ⋮ On Lyapunov-type inequalities for (n+ 1)st order nonlinear differential equations with the antiperiodic boundary conditions ⋮ \(\frac{\pi}{4}\)-tangentiality of solutions for one-dimensional Minkowski-curvature problems ⋮ Lyapunov-type inequalities for generalized one-dimensional Minkowski-curvature problems ⋮ Lyapunov-type inequalities for differential equation involving one-dimensional Minkowski-curvature operator ⋮ Nonexistence criteria of solutions for a class of second order differential equations with relativistic derivative

Cites Work

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• Bifurcation and positive solutions for problem with mean curvature operator in Minkowski space
• Global bifurcation of solutions of the mean curvature spacelike equation in certain Friedmann-Lemaître-Robertson-Walker spacetimes
• Bifurcation of positive radial solutions for a prescribed mean curvature problem on an exterior domain
• 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.
• Global bifurcation for problem with mean curvature operator on general domain
• 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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