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Volume 1, Issue 3
Lyapunov-Type Inequalities for Fractional $(p, q)$-Laplacian Systems

Yanfeng Li & Qiaoluan Li

DOI: 10.12150/jnma.2019.397

J. Nonl. Mod. Anal., 1 (2019), pp. 397-413.

Published online: 2021-04

[An open-access article; the PDF is free to any online user.]

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  • 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.

  • Keywords

Fractional Sobolev spaces, fractional $(p, q)$-Laplacian operators, Lyapunov inequality, generalized eigenvalues.

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COPYRIGHT: © Global Science Press

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@Article{JNMA-1-397, author = {Li , Yanfeng and Li , Qiaoluan}, title = {Lyapunov-Type Inequalities for Fractional $(p, q)$-Laplacian Systems}, journal = {Journal of Nonlinear Modeling and Analysis}, year = {2021}, volume = {1}, number = {3}, pages = {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.

}, issn = {2562-2862}, doi = {https://doi.org/10.12150/jnma.2019.397}, url = {http://global-sci.org/intro/article_detail/jnma/18851.html} }
TY - JOUR T1 - Lyapunov-Type Inequalities for Fractional $(p, q)$-Laplacian Systems AU - Li , Yanfeng AU - Li , Qiaoluan JO - Journal of Nonlinear Modeling and Analysis VL - 3 SP - 397 EP - 413 PY - 2021 DA - 2021/04 SN - 1 DO - http://doi.org/10.12150/jnma.2019.397 UR - https://global-sci.org/intro/article_detail/jnma/18851.html KW - Fractional Sobolev spaces, fractional $(p, q)$-Laplacian operators, Lyapunov inequality, generalized eigenvalues. AB -

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.

Li , Yanfeng and Li , Qiaoluan. (2021). Lyapunov-Type Inequalities for Fractional $(p, q)$-Laplacian Systems. Journal of Nonlinear Modeling and Analysis. 1 (3). 397-413. doi:10.12150/jnma.2019.397
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