Mathematical Research Letters

Volume 2 (1995)

Number 5

Sobolev-Poincaré implies John

Pages: 577 – 593

DOI: https://dx.doi.org/10.4310/MRL.1995.v2.n5.a5

Authors

S. Buckley (St. Patrick’s College)

P. Koskela (University of Jyväskylä)

Abstract

We establish necessary conditions for the validity of Sobolev-Poincaré type inequalities. We give a geometric characterisation for the validity of this inequality for simply connected plane domains.

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Published 1 January 1995