Composition Operators on Sobolev Spaces and Neumann Eigenvalues Academic Article uri icon


  • 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. Lower estimates of the first non-trivial Neumann eigenvalues of the p-Laplace operator in cusp domains \(\Omega \subset \mathbb R^n\), \(n\ge 2\), are given.

publication date

  • January 1, 2018