A Lyapunov-type inequality for a \(\psi\)-Laplacian operator

DOI10.1016/j.na.2011.07.027zbMath1242.34039OpenAlexW2021311993MaRDI QIDQ642572

Justino Sánchez, Vicente Vergara

Publication date: 27 October 2011

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: http://hdl.handle.net/10533/130765

zbMATH Keywords

convex functionLyapunov-type inequality\(\psi\)-Laplacianbounds on the eigenvaluessub-multiplicative function

Mathematics Subject Classification ID

Nonlinear boundary value problems for ordinary differential equations (34B15) Linear boundary value problems for ordinary differential equations (34B05) Eigenvalues, estimation of eigenvalues, upper and lower bounds of ordinary differential operators (34L15)

Related Items (8)

Lyapunov-type inequalities for a fractional \(p\)-Laplacian system ⋮ Lyapunov-type inequalities for third order nonlinear equations ⋮ A Lyapunov-type inequality for a class of higher-order fractional boundary value problems ⋮ LYAPUNOV-TYPE INEQUALITY FOR EXTREMAL PUCCI’S EQUATIONS ⋮ Positive solutions of a weakly singular periodic eco-economic system with changing-sign perturbation ⋮ Lyapunov-type inequalities for fractional partial differential equations ⋮ Lyapunov-type inequality for a fractional differential equation with fractional boundary conditions ⋮ Lower bounds for Orlicz eigenvalues

Cites Work

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• Comparison of eigenvalues for the \(p\)-Laplacian with integral inequalities
• Lyapunov-type inequalities for nonlinear systems
• Lyapunov inequalities for one-dimensional \(p\)-Laplacian problems with a singular weight function
• Lyapunov-type integral inequalities for certain higher order differential equations
• A Lyapunov inequality for monotone quasilinear operators.
• Lyapunov-type inequality for a class of Dirichlet quasilinear systems involving the \((p_{1},p_{2},\dots ,p_n)\)-Laplacian
• On principal eigenvalues for quasilinear elliptic differential operators: an Orlicz-Sobolev space setting
• Sturm-Liouville theory for the radial \(\Delta_p\)-operator
• Lyapunov and Wirtinger inequalities.
• Lower bounds for eigenvalues of the one-dimensional \(p\)-Laplacian
• A note on Lyapunov type inequalities
• On Lyapunov's inequality for disfocality
• On inequalities of Lyapunov type
• Ljusternik-Schnirelmann theorem for the generalized Laplacian
• Lyapunov-type inequality for a class of even-order differential equations
• Holomorphic completions, analytic continuation, and the interpolation of semi-norms
• Lyapunov inequalities for partial differential equations
• Estimates for eigenvalues of quasilinear elliptic systems
• On a nonlinear eigenvalue problem in OrliczSobolev spaces

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