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The $AB$ Program in Geometric Analysis: Sharp Sobolev Inequalities and Related Problems
Language: en
Pages: 113
Authors: Olivier Druet
Categories: Mathematics
Type: BOOK - Published: 2002 - Publisher: American Mathematical Soc.

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Function theory and Sobolev inequalities have been the target of investigation for many years. Sharp constants in these inequalities constitute a critical tool
The AB Program in Geometric Analysis
Language: en
Pages: 98
Authors: Olivier Druet
Categories: Riemannian manifolds
Type: BOOK - Published: 2014-09-11 - Publisher:

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Euclidean background Statement of the $AB$ program Some historical motivations The $H^2_1$-inequality--Part I The $H^2_1$-inequality--Part II PDE methods The is
Differential and Integral Inequalities
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Authors: Dorin Andrica
Categories: Mathematics
Type: BOOK - Published: 2019-11-14 - Publisher: Springer Nature

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Theories, methods and problems in approximation theory and analytic inequalities with a focus on differential and integral inequalities are analyzed in this boo
Variational Problems in Riemannian Geometry
Language: en
Pages: 158
Authors: Paul Baird
Categories: Mathematics
Type: BOOK - Published: 2012-12-06 - Publisher: Birkhäuser

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This book collects invited contributions by specialists in the domain of elliptic partial differential equations and geometric flows. There are introductory sur
Analysis and Geometry of Markov Diffusion Operators
Language: en
Pages: 555
Authors: Dominique Bakry
Categories: Mathematics
Type: BOOK - Published: 2013-11-18 - Publisher: Springer Science & Business Media

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The present volume is an extensive monograph on the analytic and geometric aspects of Markov diffusion operators. It focuses on the geometric curvature properti