Spectral estimates of the p-Laplace Neumann operator in conformal regular domains

In this paper we study spectral estimates of the p-Laplace Neumann operator in conformal regular domains Ω⊂R2. This study is based on (weighted) Poincaré–Sobolev inequalities. The main technical tool is the theory of composition operators in relation with the Brennan’s conjecture. We prove that if t...

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Bibliographic Details
Main Authors: V. Gol’dshtein, A. Ukhlov
Format: Article
Language:English
Published: Elsevier 2016-05-01
Series:Transactions of A. Razmadze Mathematical Institute
Online Access:http://www.sciencedirect.com/science/article/pii/S2346809216000167