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 - <p style="text-align: justify;">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.</p>