SHARP CONSTANTS IN THE POINCARÉ, STEKLOV AND RELATED INEQUALITIES (A SURVEY)

Author:

Kuznetsov Nikolay1,Nazarov Alexander23

Affiliation:

1. Laboratory for Mathematical Modelling of Wave PhenomenaInstitute for Problems in Mechanical Engineering, Russian Academy of ScienceSt. PetersburgRussia

2. Laboratory of Mathematical PhysicsSt. Petersburg Department of the Steklov Mathematical InstituteSt. PetersburgRussia

3. Department of Mathematical Physics, Faculty of Mathematics and MechanicsSt. Petersburg State UniversitySt. PetersburgRussia

Funder

Российский Фонд Фундаментальных Исследований

Publisher

Wiley

Subject

General Mathematics

Reference111 articles.

1. 94. S. Steinerberger , Sharp $L^{1}$ -Poincaré inequalities correspond to optimal hypersurface cuts, Preprint, 15 November 2013, arXiv:1309.6211v3 [math.CA].

2. Classes of domains and imbedding theorems for function spaces;Maz’ya;Dokl. AN SSSR,1960

3. Sur les équations de la physique mathématique

4. Sur les Equations aux Derivees Partielles de la Physique Mathematique

5. On the existence of an extremal function in critical Sobolev trace embedding theorem

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