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Lyapunov-type inequalities for ψ?Laplacian equations


In this work, we present several Lyapunov-type inequalities for a class of $\psi-$Laplacian equations of the form \begin{align*} (\psi(u'(x)))'+r(x)f(u(x))=0, \end{align*} with Dirichlet boundary conditions, where $\psi$ and $f$ satisfies certain structural conditions with general nonlinearities. We do not require any sub-multiplicative property of $\psi$, and any convexity of $\frac{1}{\psi(t)}$ or $\psi (t)t$ in the establishment of Lyapunov-type inequalities. The obtained inequalities can be seen as extensions and complements of the existing results in the literature.
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From: 郑军
Recommended references: Zheng, Jun,Guo, Xu.(2018).Lyapunov-type inequalities for ψ?Laplacian equations.[ChinaXiv:201805.00171] (Click&Copy)
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[V1] 2018-05-22 16:21:16 chinaXiv:201805.00171V1 Download
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