Year: 2019
Author: Yanfeng Li, Qiaoluan Li
Journal of Nonlinear Modeling and Analysis, Vol. 1 (2019), Iss. 3 : pp. 397–413
Abstract
In this paper, we establish some new Lyapunov type inequalities for fractional $(p, q)$-Laplacian operators in an open bounded set $Ω⊂\mathbb{R}^N$, under homogeneous Dirichlet boundary conditions. Next, we use the obtained inequalities to derive some geometric properties of the generalized spectrum associated to the considered problem.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/10.12150/jnma.2019.397
Journal of Nonlinear Modeling and Analysis, Vol. 1 (2019), Iss. 3 : pp. 397–413
Published online: 2019-01
AMS Subject Headings:
Copyright: COPYRIGHT: © Global Science Press
Pages: 17
Keywords: Fractional Sobolev spaces fractional $(p q)$-Laplacian operators Lyapunov inequality generalized eigenvalues.