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Author : Qun Chen
Publisher :
ISBN 13 :
Total Pages : pages
Book Rating : 4.:/5 (931 download)
Download or read book Omori-Yau Maximum Principles, V-harmonic Maps and Their Geometric Applications written by Qun Chen and published by . This book was released on 2014 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Luis J. Alías
Publisher : Springer
ISBN 13 : 3319243373
Total Pages : 594 pages
Book Rating : 4.3/5 (192 download)
Download or read book Maximum Principles and Geometric Applications written by Luis J. Alías and published by Springer. This book was released on 2016-02-13 with total page 594 pages. Available in PDF, EPUB and Kindle. Book excerpt: This monograph presents an introduction to some geometric and analytic aspects of the maximum principle. In doing so, it analyses with great detail the mathematical tools and geometric foundations needed to develop the various new forms that are presented in the first chapters of the book. In particular, a generalization of the Omori-Yau maximum principle to a wide class of differential operators is given, as well as a corresponding weak maximum principle and its equivalent open form and parabolicity as a special stronger formulation of the latter. In the second part, the attention focuses on a wide range of applications, mainly to geometric problems, but also on some analytic (especially PDEs) questions including: the geometry of submanifolds, hypersurfaces in Riemannian and Lorentzian targets, Ricci solitons, Liouville theorems, uniqueness of solutions of Lichnerowicz-type PDEs and so on. Maximum Principles and Geometric Applications is written in an easy style making it accessible to beginners. The reader is guided with a detailed presentation of some topics of Riemannian geometry that are usually not covered in textbooks. Furthermore, many of the results and even proofs of known results are new and lead to the frontiers of a contemporary and active field of research.
Author : Bruno Bianchini
Publisher : Springer Nature
ISBN 13 : 3030627047
Total Pages : 291 pages
Book Rating : 4.0/5 (36 download)
Download or read book Geometric Analysis of Quasilinear Inequalities on Complete Manifolds written by Bruno Bianchini and published by Springer Nature. This book was released on 2021-01-18 with total page 291 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book demonstrates the influence of geometry on the qualitative behaviour of solutions of quasilinear PDEs on Riemannian manifolds. Motivated by examples arising, among others, from the theory of submanifolds, the authors study classes of coercive elliptic differential inequalities on domains of a manifold M with very general nonlinearities depending on the variable x, on the solution u and on its gradient. The book highlights the mean curvature operator and its variants, and investigates the validity of strong maximum principles, compact support principles and Liouville type theorems. In particular, it identifies sharp thresholds involving curvatures or volume growth of geodesic balls in M to guarantee the above properties under appropriate Keller-Osserman type conditions, which are investigated in detail throughout the book, and discusses the geometric reasons behind the existence of such thresholds. Further, the book also provides a unified review of recent results in the literature, and creates a bridge with geometry by studying the validity of weak and strong maximum principles at infinity, in the spirit of Omori-Yau’s Hessian and Laplacian principles and subsequent improvements.
Author : Stefano Pigola
Publisher : American Mathematical Soc.
ISBN 13 : 0821836390
Total Pages : 118 pages
Book Rating : 4.8/5 (218 download)
Download or read book Maximum Principles on Riemannian Manifolds and Applications written by Stefano Pigola and published by American Mathematical Soc.. This book was released on 2005 with total page 118 pages. Available in PDF, EPUB and Kindle. Book excerpt: Aims to introduce the reader to various forms of the maximum principle, starting from its classical formulation up to generalizations of the Omori-Yau maximum principle at infinity obtained by the authors.
Author :
Publisher :
ISBN 13 :
Total Pages : 848 pages
Book Rating : 4.3/5 (91 download)
Download or read book Reviews in Global Analysis, 1980-86 as Printed in Mathematical Reviews written by and published by . This book was released on 1988 with total page 848 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author :
Publisher :
ISBN 13 :
Total Pages : 958 pages
Book Rating : 4.3/5 (91 download)
Download or read book Mathematical Reviews written by and published by . This book was released on 2006 with total page 958 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Stefano Pigola
Publisher : Springer Science & Business Media
ISBN 13 : 3764386428
Total Pages : 294 pages
Book Rating : 4.7/5 (643 download)
Download or read book Vanishing and Finiteness Results in Geometric Analysis written by Stefano Pigola and published by Springer Science & Business Media. This book was released on 2008-05-28 with total page 294 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book describes very recent results involving an extensive use of analytical tools in the study of geometrical and topological properties of complete Riemannian manifolds. It analyzes in detail an extension of the Bochner technique to the non compact setting, yielding conditions which ensure that solutions of geometrically significant differential equations either are trivial (vanishing results) or give rise to finite dimensional vector spaces (finiteness results). The book develops a range of methods, from spectral theory and qualitative properties of solutions of PDEs, to comparison theorems in Riemannian geometry and potential theory.
Author : Pierre H. Berard
Publisher : Springer
ISBN 13 : 3540409580
Total Pages : 284 pages
Book Rating : 4.5/5 (44 download)
Download or read book Spectral Geometry written by Pierre H. Berard and published by Springer. This book was released on 2006-11-14 with total page 284 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : John K. Beem
Publisher : Routledge
ISBN 13 : 1351444719
Total Pages : 656 pages
Book Rating : 4.3/5 (514 download)
Download or read book Global Lorentzian Geometry written by John K. Beem and published by Routledge. This book was released on 2017-09-29 with total page 656 pages. Available in PDF, EPUB and Kindle. Book excerpt: Bridging the gap between modern differential geometry and the mathematical physics of general relativity, this text, in its second edition, includes new and expanded material on topics such as the instability of both geodesic completeness and geodesic incompleteness for general space-times, geodesic connectibility, the generic condition, the sectional curvature function in a neighbourhood of degenerate two-plane, and proof of the Lorentzian Splitting Theorem.;Five or more copies may be ordered by college or university stores at a special student price, available on request.
Author : S. G. Dani
Publisher : Springer Nature
ISBN 13 : 3030136094
Total Pages : 759 pages
Book Rating : 4.0/5 (31 download)
Download or read book Geometry in History written by S. G. Dani and published by Springer Nature. This book was released on 2019-10-18 with total page 759 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is a collection of surveys on important mathematical ideas, their origin, their evolution and their impact in current research. The authors are mathematicians who are leading experts in their fields. The book is addressed to all mathematicians, from undergraduate students to senior researchers, regardless of the specialty.
Author : Y. L. Xin
Publisher : World Scientific
ISBN 13 : 9812386874
Total Pages : 271 pages
Book Rating : 4.8/5 (123 download)
Download or read book Minimal Submanifolds and Related Topics written by Y. L. Xin and published by World Scientific. This book was released on 2003 with total page 271 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Bernstein problem and the Plateau problem are central topics in the theory of minimal submanifolds. This important book presents the Douglas-Rado solution to the Plateau problem, but the main emphasis is on the Bernstein problem and its new developments in various directions: the value distribution of the Gauss image of a minimal surface in Euclidean 3-space, Simons' work for minimal graphic hypersurfaces, and author's own contributions to Bernstein type theorems for higher codimensions. The author also introduces some related topics, such as submanifolds with parallel mean curvature, Weierstrass type representation for surfaces of mean curvature 1 in hyperbolic 3-space, and special Lagrangian submanifolds.
Author : Serena Dipierro
Publisher : Springer
ISBN 13 : 303018921X
Total Pages : 502 pages
Book Rating : 4.0/5 (31 download)
Download or read book Contemporary Research in Elliptic PDEs and Related Topics written by Serena Dipierro and published by Springer. This book was released on 2019-07-12 with total page 502 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume collects contributions from the speakers at an INdAM Intensive period held at the University of Bari in 2017. The contributions cover several aspects of partial differential equations whose development in recent years has experienced major breakthroughs in terms of both theory and applications. The topics covered include nonlocal equations, elliptic equations and systems, fully nonlinear equations, nonlinear parabolic equations, overdetermined boundary value problems, maximum principles, geometric analysis, control theory, mean field games, and bio-mathematics. The authors are trailblazers in these topics and present their work in a way that is exhaustive and clearly accessible to PhD students and early career researcher. As such, the book offers an excellent introduction to a variety of fundamental topics of contemporary investigation and inspires novel and high-quality research.
Author : Xin Yuanlong
Publisher : World Scientific
ISBN 13 : 9813236078
Total Pages : 396 pages
Book Rating : 4.8/5 (132 download)
Download or read book Minimal Submanifolds and Related Topics written by Xin Yuanlong and published by World Scientific. This book was released on 1989-05-01 with total page 396 pages. Available in PDF, EPUB and Kindle. Book excerpt: In the theory of minimal submanifolds, Bernstein's problem and Plateau's problem are central topics. This important book presents the Douglas-Rado solution to Plateau's problem, but the main emphasis is on Bernstein's problem and its new developments in various directions: the value distribution of the Gauss image of a minimal surface in Euclidean 3-space, Simons' work for minimal graphic hypersurfaces, and the author's own contributions to Bernstein type theorems for higher codimension. The author also introduces some related topics, such as submanifolds with parallel mean curvature, Weierstrass type representation for surfaces of mean curvature 1 in hyperbolic 3-space, and special Lagrangian submanifolds. This new edition contains the author's recent work on the Lawson-Osserman's problem for higher codimension, and on Chern's problem for minimal hypersurfaces in the sphere. Both Chern's problem and Lawson-Osserman's problem are important problems in minimal surface theory which are still unsolved. In addition, some new techniques were developed to address those problems in detail, which are of interest in the field of geometric analysis.
Author : Jean-Paul Dufour
Publisher : Springer Science & Business Media
ISBN 13 : 3764373350
Total Pages : 332 pages
Book Rating : 4.7/5 (643 download)
Download or read book Poisson Structures and Their Normal Forms written by Jean-Paul Dufour and published by Springer Science & Business Media. This book was released on 2006-01-17 with total page 332 pages. Available in PDF, EPUB and Kindle. Book excerpt: The aim of this book is twofold. On the one hand, it gives a quick, self-contained introduction to Poisson geometry and related subjects. On the other hand, it presents a comprehensive treatment of the normal form problem in Poisson geometry. Even when it comes to classical results, the book gives new insights. It contains results obtained over the past 10 years which are not available in other books.
Author : Jonathan K. Hodge
Publisher : American Mathematical Soc.
ISBN 13 : 1470442876
Total Pages : 238 pages
Book Rating : 4.4/5 (74 download)
Download or read book The Mathematics of Voting and Elections: A Hands-On Approach written by Jonathan K. Hodge and published by American Mathematical Soc.. This book was released on 2018-10-01 with total page 238 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Mathematics of Voting and Elections: A Hands-On Approach, Second Edition, is an inquiry-based approach to the mathematics of politics and social choice. The aim of the book is to give readers who might not normally choose to engage with mathematics recreationally the chance to discover some interesting mathematical ideas from within a familiar context, and to see the applicability of mathematics to real-world situations. Through this process, readers should improve their critical thinking and problem solving skills, as well as broaden their views of what mathematics really is and how it can be used in unexpected ways. The book was written specifically for non-mathematical audiences and requires virtually no mathematical prerequisites beyond basic arithmetic. At the same time, the questions included are designed to challenge both mathematical and non-mathematical audiences alike. More than giving the right answers, this book asks the right questions. The book is fun to read, with examples that are not just thought-provoking, but also entertaining. It is written in a style that is casual without being condescending. But the discovery-based approach of the book also forces readers to play an active role in their learning, which should lead to a sense of ownership of the main ideas in the book. And while the book provides answers to some of the important questions in the field of mathematical voting theory, it also leads readers to discover new questions and ways to approach them. In addition to making small improvements in all the chapters, this second edition contains several new chapters. Of particular interest might be Chapter 12 which covers a host of topics related to gerrymandering.
Author : Vivek Kumar
Publisher : Springer
ISBN 13 : 9811318409
Total Pages : 664 pages
Book Rating : 4.8/5 (113 download)
Download or read book Microbial Action on Hydrocarbons written by Vivek Kumar and published by Springer. This book was released on 2019-02-08 with total page 664 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book discusses ways to overcome the side effects of using hydrocarbon-based products as energy sources. Hydrocarbons produce raw crude oil waste of around 600,000 metric tons per annum, with a range of uncertainty of 200,000 metric tons per year. The various chapters in this book focus on approaches to reduce these wastes through the application of potential microbes, in a process called bioremediation. The book is a one-stop reference resource on the methods, mechanisms and application of the bio-composites, in the laboratory and field. Focusing on resolving a very pressing environmental issue, it not only provides details of existing challenges, but also offers deeper insights into the possibility of solving problems using hydrocarbon bioremediation.
Author : Hongxi Wu
Publisher :
ISBN 13 :
Total Pages : 272 pages
Book Rating : 4.F/5 ( download)
Download or read book The Bochner Technique in Differential Geometry written by Hongxi Wu and published by . This book was released on 1988 with total page 272 pages. Available in PDF, EPUB and Kindle. Book excerpt:
