Perturbation Methods And Semilinear Elliptic Problems On Rsuperscript N

Author : Antonio Ambrosetti
Publisher : Springer Science & Business Media
ISBN 13 : 3764373962
Total Pages : 187 pages
Book Rating : 4.62/5 ( download)

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Download or read book Perturbation Methods and Semilinear Elliptic Problems on R^n written by Antonio Ambrosetti and published by Springer Science & Business Media. This book was released on 2006-03-21 with total page 187 pages. Available in PDF, EPUB and Kindle. Book excerpt: Several important problems arising in Physics, Di?erential Geometry and other n topics lead to consider semilinear variational elliptic equations on R and a great deal of work has been devoted to their study. From the mathematical point of view, the main interest relies on the fact that the tools of Nonlinear Functional Analysis, based on compactness arguments, in general cannot be used, at least in a straightforward way, and some new techniques have to be developed. n On the other hand, there are several elliptic problems on R which are p- turbative in nature. In some cases there is a natural perturbation parameter, like inthe bifurcationfromthe essentialspectrum orinsingularlyperturbed equations or in the study of semiclassical standing waves for NLS. In some other circ- stances, one studies perturbations either because this is the ?rst step to obtain global results or else because it often provides a correct perspective for further global studies. For these perturbation problems a speci?c approach,that takes advantage of such a perturbative setting, seems the most appropriate. These abstract tools are provided by perturbation methods in critical point theory. Actually, it turns out that such a framework can be used to handle a large variety of equations, usually considered di?erent in nature. Theaimofthismonographistodiscusstheseabstractmethodstogetherwith their applications to several perturbation problems, whose common feature is to n involve semilinear Elliptic Partial Di?erential Equations on R with a variational structure.

Author : Antonio Ambrosetti
Publisher : Birkhäuser
ISBN 13 : 9783764390860
Total Pages : 184 pages
Book Rating : 4.67/5 ( download)

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Download or read book Perturbation Methods and Semilinear Elliptic Problems on R^n written by Antonio Ambrosetti and published by Birkhäuser. This book was released on 2009-09-03 with total page 184 pages. Available in PDF, EPUB and Kindle. Book excerpt: Several important problems arising in Physics, Di?erential Geometry and other n topics lead to consider semilinear variational elliptic equations on R and a great deal of work has been devoted to their study. From the mathematical point of view, the main interest relies on the fact that the tools of Nonlinear Functional Analysis, based on compactness arguments, in general cannot be used, at least in a straightforward way, and some new techniques have to be developed. n On the other hand, there are several elliptic problems on R which are p- turbative in nature. In some cases there is a natural perturbation parameter, like inthe bifurcationfromthe essentialspectrum orinsingularlyperturbed equations or in the study of semiclassical standing waves for NLS. In some other circ- stances, one studies perturbations either because this is the ?rst step to obtain global results or else because it often provides a correct perspective for further global studies. For these perturbation problems a speci?c approach,that takes advantage of such a perturbative setting, seems the most appropriate. These abstract tools are provided by perturbation methods in critical point theory. Actually, it turns out that such a framework can be used to handle a large variety of equations, usually considered di?erent in nature. Theaimofthismonographistodiscusstheseabstractmethodstogetherwith their applications to several perturbation problems, whose common feature is to n involve semilinear Elliptic Partial Di?erential Equations on R with a variational structure.

Author : Jan Chabrowski
Publisher : World Scientific
ISBN 13 : 9789810240769
Total Pages : 256 pages
Book Rating : 4.67/5 ( download)

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Download or read book Weak Convergence Methods for Semilinear Elliptic Equations written by Jan Chabrowski and published by World Scientific. This book was released on 1999 with total page 256 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book deals with nonlinear boundary value problems for semilinear elliptic equations on unbounded domains with nonlinearities involving the subcritical Sobolev exponent. The variational problems investigated in the book originate in many branches of applied science. A typical example is the nonlinear Schr”dinger equation which appears in mathematical modeling phenomena arising in nonlinear optics and plasma physics. Solutions to these problems are found as critical points of variational functionals. The main difficulty in examining the compactness of Palais-Smale sequences arises from the fact that the Sobolev compact embedding theorems are no longer true on unbounded domains. In this book we develop the concentration-compactness principle at infinity, which is used to obtain the relative compactness of minimizing sequences. This tool, combined with some basic methods from the Lusternik-Schnirelman theory of critical points, is to investigate the existence of positive, symmetric and nodal solutions. The book also emphasizes the effect of the graph topology of coefficients on the existence of multiple solutions.

Author : Arkadii Slinko
Publisher : Springer
ISBN 13 : 3319219510
Total Pages : 336 pages
Book Rating : 4.16/5 ( download)

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Download or read book Algebra for Applications written by Arkadii Slinko and published by Springer. This book was released on 2015-08-19 with total page 336 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book examines the relationship between mathematics and data in the modern world. Indeed, modern societies are awash with data which must be manipulated in many different ways: encrypted, compressed, shared between users in a prescribed manner, protected from an unauthorised access and transmitted over unreliable channels. All of these operations can be understood only by a person with knowledge of basics in algebra and number theory. This book provides the necessary background in arithmetic, polynomials, groups, fields and elliptic curves that is sufficient to understand such real-life applications as cryptography, secret sharing, error-correcting, fingerprinting and compression of information. It is the first to cover many recent developments in these topics. Based on a lecture course given to third-year undergraduates, it is self-contained with numerous worked examples and exercises provided to test understanding. It can additionally be used for self-study.

Author : Beata Randrianantoanina
Publisher : Walter de Gruyter
ISBN 13 : 3110918293
Total Pages : 465 pages
Book Rating : 4.98/5 ( download)

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Download or read book Banach Spaces and their Applications in Analysis written by Beata Randrianantoanina and published by Walter de Gruyter. This book was released on 2011-12-22 with total page 465 pages. Available in PDF, EPUB and Kindle. Book excerpt: In recent years there has been a surge of profound new developments in various aspects of analysis whose connecting thread is the use of Banach space methods. Indeed, many problems seemingly far from the classical geometry of Banach spaces have been solved using Banach space techniques. This volume contains papers by participants of the conference "Banach Spaces and their Applications in Analysis", held in May 2006 at Miami University in Oxford, Ohio, in honor of Nigel Kalton's 60th birthday. In addition to research articles contributed by participants, the volume includes invited expository articles by principal speakers of the conference, who are leaders in their areas. These articles present overviews of new developments in each of the conference's main areas of emphasis, namely nonlinear theory, isomorphic theory of Banach spaces including connections with combinatorics and set theory, algebraic and homological methods in Banach spaces, approximation theory and algorithms in Banach spaces. This volume also contains an expository article about the deep and broad mathematical work of Nigel Kalton, written by his long time collaborator, Gilles Godefroy. Godefroy's article, and in fact the entire volume, illustrates the power and versatility of applications of Banach space methods and underlying connections between seemingly distant areas of analysis.

Author : Bohdan Dziunikowski
Publisher :
ISBN 13 : 9780444417350
Total Pages : 431 pages
Book Rating : 4.54/5 ( download)

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Download or read book Energy Dispersive X-ray Fluorescence Analysis written by Bohdan Dziunikowski and published by . This book was released on 1989 with total page 431 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Author : Mary T. Ho
Publisher : McGraw-Hill/Appleton & Lange
ISBN 13 :
Total Pages : 1038 pages
Book Rating : 4.53/5 ( download)

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Download or read book Current Emergency Diagnosis & Treatment written by Mary T. Ho and published by McGraw-Hill/Appleton & Lange. This book was released on 1992 with total page 1038 pages. Available in PDF, EPUB and Kindle. Book excerpt: Designed for all who provide emergency care, CEDT provides ready information needed to both diagnose and treat life-threatening conditions rapidly. This edition includes new or expanded material on heart emergencies, pediatric emergencies, and disaster management.

Author : Carlos Ayala
Publisher : Lippincott Williams & Wilkins
ISBN 13 : 1451144067
Total Pages : 619 pages
Book Rating : 4.62/5 ( download)

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Download or read book Boards & Wards for USMLE Steps 2 & 3 written by Carlos Ayala and published by Lippincott Williams & Wilkins. This book was released on 2012-04-19 with total page 619 pages. Available in PDF, EPUB and Kindle. Book excerpt: Established as an essential resource for medical students preparing for clinical rotations and the USMLE, Boards and Wards for USMLE Steps 2 & 3 is now in its updated Fifth Edition! Written in a succinct, high-yield outline format, it provides broad coverage of all key medical subspecialties in a user-friendly and portable format.