Sharp weyl-type formulas of the spectral functions for biharmonic Steklov eigenvalues

• 作 者: Genqian Liu
• 机 构: Departmentofmathematics,BeijingInstituteofTechnology,Beijing100081,P.R.China
• 出 处: 2012 Nonlinear Evolutionary Partial differential Equations--
• 发表日期: 2012年6期

　　Let Ω be a bounded domain with C2 smooth boundary in an n-dimensional oriented Riemannian manifold.It is well known that for the biharmonic equation △2u=0 in Ω with the condition u = 0 on (6Ω),there exists an infinite set uk of biharmonic functions in Ω with positive eigenvalues λk satisfying △uk+λk(6uk)/(6υ)=0 on (6Ω).