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Lyapunov-type Inequalities for Fractional (p, q)-Laplacian Systems
  
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KeyWord:Fractional Sobolev spaces  fractional (p, q)-Laplacian operators  Lyapunov inequality  generalized eigenvalues
Author NameAffiliation
Yanfeng Li College of Mathematics and Information Science, Hebei Normal University, Shijiazhuang, Hebei 050024, China 
Qiaoluan Li College of Mathematics and Information Science, Hebei Normal University, Shijiazhuang, Hebei 050024, China 
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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 ⊂ RN , 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.