Sharp constants for inequalities of Poincaré type: an application of optimal control theory

DOI10.1186/1029-242X-2014-523zbMath1372.26013arXiv1307.1423WikidataQ59323536 ScholiaQ59323536MaRDI QIDQ2405767

Hong-wei Lou

Publication date: 26 September 2017

Published in: Journal of Inequalities and Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1307.1423

zbMATH Keywords

optimal controlsharp constantinequality of Poincaré type

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) Optimality conditions for problems involving ordinary differential equations (49K15)

Cites Work

• Unnamed Item
• The best constant of \(L^p\) Sobolev inequality corresponding to Dirichlet boundary value problem. II
• Best constant in Sobolev inequality
• Best constant in a three-parameter Poincaré inequality
• Sharp constants in one-dimensional Poincaré-type inequalities

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