Asymptotics Of Eigenvalues For One Dimensional P-Laplace Operator With Neumann Boundary-value Conditions

In this paper , we mainly study the spectral counting function for the one-dimension p-Laplace operator with Neumann Boundary conditions and then get the asymptotic expansion of a two-term Wely-type . We use the lattice method for the proof of our results. The paper is organized be three chapters ,in chapter one we mainly introduce the background and main results of the paper,in chapter two we give some preliminaies,such as some basic properties of the elliptic PDE operators, the definition of Minkowski dimension and Minkowski measure. The rest part is the proof of our main results.