Lyapunov-type inequalities for ψ−Laplacian equations
Lyapunov-type inequalities for ψ-Laplacian equations
摘要: 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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2018-05-22 16:21:16 |
ChinaXiv:201805.00171V1
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