Composition Operators on Sobolev Spaces and Neumann Eigenvalues
Analysis of PDEs
2018-02-01 v1
Abstract
In this paper we discuss applications of the geometric theory of composition operators on Sobolev spaces to the spectral theory of non-linear elliptic operators. The lower estimates of the first non-trivial Neumann eigenvalues of the -Laplace operator in cusp domains , , are given.
Cite
@article{arxiv.1801.10421,
title = {Composition Operators on Sobolev Spaces and Neumann Eigenvalues},
author = {V. Gol'dshtein and A. Ukhlov},
journal= {arXiv preprint arXiv:1801.10421},
year = {2018}
}
Comments
16 pages