THE POINCARÉ INEQUALITY FOR A VECTOR FIELD WITH ZERO TANGENTIAL OR NORMAL COMPONENT ON THE BOUNDARY

DOI10.1080/16073606.1988.9631951zbMath0649.26012OpenAlexW2081035593MaRDI QIDQ3794436

Nigel T. Bishop

Publication date: 1988

Published in: Quaestiones Mathematicae (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/16073606.1988.9631951

zbMATH Keywords

vector fieldPoincaré inequalitycalculus of variationsminimality of an action functional

Mathematics Subject Classification ID

Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Inequalities involving derivatives and differential and integral operators (26D10)

Related Items (2)

Compressible viscous flows in a symmetric domain with complete slip boundary: the nonlinear stability of uniformly rotating states with small angular velocities ⋮ Bounds on heat transfer by incompressible flows between balanced sources and sinks

Cites Work

• On the extremality of the action integral
• The life and scientific work of Vladimir Ivanovich Smirnov
• Unnamed Item

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