Inequalities play a fundamental rôle in all areas of mathematics and their applications.
Among several well-known inequalities, Lyapunov-type inequalities have been studied …

Lyapunov's inequality is one of the outstanding results in mathematics. It has proved to be
useful for studying spectral properties of ordinary differential equations, including bounds for …

In this manuscript, we deal with an equation involving a combination of quasi-linear elliptic
operators of local and non-local nature with p-structure, and concave–convex nonlinearities …

In this article we consider the following weighted nonlinear eigenvalue problem for the $ g-$
Laplacian $$-\mathop {\text {div}}\left (g (|\nabla u|)\frac {\nabla u}{|\nabla u|}\right)=\lambda …

In this paper, we establish Lyapunov-type inequalities for a fractional p-Laplacian system in
an open bounded subset Ω⊂ ℝ N RN under Dirichlet boundary conditions. As an …

ABSTRACT A Lyapunov-type inequality is established for the partial differential equation:− G
γ u (x, y)= w (x) u (x, y),(x, y)∈ Ω, u (x, y)= 0,(x, y)∈∂ Ω, where Ω=] a, b [× O,(a, b)∈ R 2, a< …

In this paper, we present new Lyapunov-type inequalities for Hilfer-Katugampola fractional
differential equations. We first give some unique properties of the Hilfer-Katugampola …

In this work we present Lyapunov type inequalities for generalized one dimensional
Laplacian operators defined by positive atomless Borel measures. As applications, we …

The first author was supported in part by the Natural Sciences and Engineering Research
Council (NSERC) of Canada under grant no. 250187-2013 and 135752-2018, and the …

We establish Lyapunov‐type inequality for equations concerning general class of second‐
order non‐symmetric elliptic operators with singular coefficients. Our approach is based on …