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The AB Program in Geometric Analysis

2014-09-11 Riemannian manifolds
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Release : 2014-09-11
Genre : Riemannian manifolds
Kind : eBook
Book Rating : 591/5 ( reviews)

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Book Synopsis The AB Program in Geometric Analysis by : Olivier Druet

Download or read book The AB Program in Geometric Analysis written by Olivier Druet. This book was released on 2014-09-11. Available in PDF, EPUB and Kindle. Book excerpt: 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 isoperimetric inequality The $H^p_1$-inequalities, $1

The $AB$ Program in Geometric Analysis: Sharp Sobolev Inequalities and Related Problems

2002 Mathematics
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Release : 2002
Genre : Mathematics
Kind : eBook
Book Rating : 890/5 ( reviews)

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Book Synopsis The $AB$ Program in Geometric Analysis: Sharp Sobolev Inequalities and Related Problems by : Olivier Druet

Download or read book The $AB$ Program in Geometric Analysis: Sharp Sobolev Inequalities and Related Problems written by Olivier Druet. This book was released on 2002. Available in PDF, EPUB and Kindle. Book excerpt: Function theory and Sobolev inequalities have been the target of investigation for many years. Sharp constants in these inequalities constitute a critical tool in geometric analysis. The $AB$ programme is concerned with sharp Sobolev inequalities on compact Riemannian manifolds. This text summarizes the results of contemporary research and gives an up-to-date report on the field.

Noncompact Problems at the Intersection of Geometry, Analysis, and Topology

2004 Mathematics
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Release : 2004
Genre : Mathematics
Kind : eBook
Book Rating : 358/5 ( reviews)

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Book Synopsis Noncompact Problems at the Intersection of Geometry, Analysis, and Topology by : Abbas Bahri

Download or read book Noncompact Problems at the Intersection of Geometry, Analysis, and Topology written by Abbas Bahri. This book was released on 2004. Available in PDF, EPUB and Kindle. Book excerpt: This proceedings volume contains articles from the conference held at Rutgers University in honor of Haim Brezis and Felix Browder, two mathematicians who have had a profound impact on partial differential equations, functional analysis, and geometry. Mathematicians attending the conference had interests in noncompact variational problems, pseudo-holomorphic curves, singular and smooth solutions to problems admitting a conformal (or some group) invariance, Sobolev spaces on manifolds, and configuration spaces. One day of the proceedings was devoted to Einstein equations and related topics. Contributors to the volume include, among others, Sun-Yung A. Chang, Luis A. Caffarelli, Carlos E. Kenig, and Gang Tian. The material is suitable for graduate students and researchers interested in problems in analysis and differential equations on noncompact manifolds.

Differential and Integral Inequalities

2019-11-14 Mathematics
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Release : 2019-11-14
Genre : Mathematics
Kind : eBook
Book Rating : 071/5 ( reviews)

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Book Synopsis Differential and Integral Inequalities by : Dorin Andrica

Download or read book Differential and Integral Inequalities written by Dorin Andrica. This book was released on 2019-11-14. Available in PDF, EPUB and Kindle. Book excerpt: Theories, methods and problems in approximation theory and analytic inequalities with a focus on differential and integral inequalities are analyzed in this book. Fundamental and recent developments are presented on the inequalities of Abel, Agarwal, Beckenbach, Bessel, Cauchy–Hadamard, Chebychev, Markov, Euler’s constant, Grothendieck, Hilbert, Hardy, Carleman, Landau–Kolmogorov, Carlson, Bernstein–Mordell, Gronwall, Wirtinger, as well as inequalities of functions with their integrals and derivatives. Each inequality is discussed with proven results, examples and various applications. Graduate students and advanced research scientists in mathematical analysis will find this reference essential to their understanding of differential and integral inequalities. Engineers, economists, and physicists will find the highly applicable inequalities practical and useful to their research.

Variational Problems in Riemannian Geometry

2012-12-06 Mathematics
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Release : 2012-12-06
Genre : Mathematics
Kind : eBook
Book Rating : 687/5 ( reviews)

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Book Synopsis Variational Problems in Riemannian Geometry by : Paul Baird

Download or read book Variational Problems in Riemannian Geometry written by Paul Baird. This book was released on 2012-12-06. Available in PDF, EPUB and Kindle. Book excerpt: This book collects invited contributions by specialists in the domain of elliptic partial differential equations and geometric flows. There are introductory survey articles as well as papers presenting the latest research results. Among the topics covered are blow-up theory for second order elliptic equations; bubbling phenomena in the harmonic map heat flow; applications of scans and fractional power integrands; heat flow for the p-energy functional; Ricci flow and evolution by curvature of networks of curves in the plane.

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