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arXiv · 1801.10421

Composition Operators on Sobolev Spaces and Neumann Eigenvalues

V. Gol'dshtein·A. Ukhlov
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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 $\Omega\subset\mathbb R^n$, $n\geq 2$, are given.

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V. Gol'dshtein, A. Ukhlov. 2018-01-31. Composition Operators on Sobolev Spaces and Neumann Eigenvalues. https://arxiv.org/abs/1801.10421

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