Work

Space quasiconformal composition operators with applications to Neumann eigenvalues

Year: 2020

Type: preprint

Abstract: In this article we obtain estimates of Neumann eigenvalues of $p$-Laplace operators in a large class of space domains satisfying quasihyperbolic boundary conditions. The suggested method is based on composition operators generated by quasiconformal mappings and their applications to Sobolev-Poincaré-inequalities. By using a sharp version of the inverse Hölder inequality we refine our estimates for quasi-balls, that is, images of balls under quasiconformal mappings of the whole space.

Source: arXiv (Cornell University)

DOI: 10.48550/arxiv.2006.07009

Authors: Gol'dshtein, Vladimir, Hurri-Syrjänen, Ritva, Pchelintsev, Valerii, Ukhlov, Alexander

Institutions: Ben-Gurion University of the Negev, Tomsk Polytechnic University

Language: English

Topic: Nonlinear Partial Differential Equations

Subfield: Applied Mathematics

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

Funders: United States-Israel Binational Science Foundation, Suomalainen Tiedeakatemia, Ben-Gurion University of the Negev

Award: G4672610642

OpenAlex ID: W4287758258

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