Asymptotic Behavior of the Steklov Eigenvalues For the p−Laplace Operator

In this paper we study the asymptotic behavior of the Steklov eigenvalues of the p-Laplacian. We show the existence of lower and upper bounds of a Weyl-type expansion of the function N(λ) which counts the number of eigenvalues less than or equal to λ, and we derive from them asymptotic bounds for the eigenvalues. 1991 Mathematics Subject Classification. 35P20, 35P30. Key words. p-laplacian, asymptotic of eigenvalues, Steklo