Sobolev-Poincaré implies John

6533b857fe1ef96bd12b3bee

RESEARCH PRODUCT

Sobolev-Poincaré implies John

subject

Sobolev space symbols.namesake Plane (geometry)General Mathematics Simply connected space Mathematical analysis Poincaré conjecture symbols Mathematics & Statistics Type (model theory)Mathematics

description

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.

year	journal	country	edition	language
1995-01-01	Mathematical Research Letters

https://doi.org/10.4310/mrl.1995.v2.n5.a5

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