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Composition Operators on Sobolev Spaces and Neumann Eigenvalues

Published 31 Jan 2018 in math.AP | (1801.10421v1)

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 $p$-Laplace operator in cusp domains $\Omega\subset\mathbb Rn$, $n\geq 2$, are given.

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Authors (2)

  1. V. Gol'dshtein 
  2. A. Ukhlov 

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