The AB Program in Geometric Analysis

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

The AB Program in Geometric Analysis - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook The AB Program in Geometric Analysis write by Olivier Druet. This book was released on 2014-09-11. The AB Program in Geometric Analysis available in PDF, EPUB and Kindle. 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

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

The $AB$ Program in Geometric Analysis: Sharp Sobolev Inequalities and Related Problems - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook The $AB$ Program in Geometric Analysis: Sharp Sobolev Inequalities and Related Problems write by Olivier Druet. This book was released on 2002. The $AB$ Program in Geometric Analysis: Sharp Sobolev Inequalities and Related Problems available in PDF, EPUB and Kindle. 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

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

Noncompact Problems at the Intersection of Geometry, Analysis, and Topology - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Noncompact Problems at the Intersection of Geometry, Analysis, and Topology write by Abbas Bahri. This book was released on 2004. Noncompact Problems at the Intersection of Geometry, Analysis, and Topology available in PDF, EPUB and Kindle. 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

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

Differential and Integral Inequalities - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Differential and Integral Inequalities write by Dorin Andrica. This book was released on 2019-11-14. Differential and Integral Inequalities available in PDF, EPUB and Kindle. 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

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

Variational Problems in Riemannian Geometry - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Variational Problems in Riemannian Geometry write by Paul Baird. This book was released on 2012-12-06. Variational Problems in Riemannian Geometry available in PDF, EPUB and Kindle. 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.