Duality And Perturbation Methods In Critical Point Theory
DOWNLOAD
Download Duality And Perturbation Methods In Critical Point Theory PDF/ePub or read online books in Mobi eBooks. Click Download or Read Online button to get Duality And Perturbation Methods In Critical Point Theory book now. This website allows unlimited access to, at the time of writing, more than 1.5 million titles, including hundreds of thousands of titles in various foreign languages. If the content not found or just blank you must refresh this page
Duality And Perturbation Methods In Critical Point Theory
DOWNLOAD
Author : Nassif Ghoussoub
language : en
Publisher: Cambridge University Press
Release Date : 1993-08-19
Duality And Perturbation Methods In Critical Point Theory written by Nassif Ghoussoub and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1993-08-19 with Mathematics categories.
The calculus of variations has been an active area of mathematics for over 300 years. Its main use is to find stable critical points of functions for the solution of problems. To find unstable values, new approaches (Morse theory and min-max methods) were developed, and these are still being refined to overcome difficulties when applied to the theory of partial differential equations. Here, Professor Ghoussoub describes a point of view that may help when dealing with such problems. Building upon min-max methods, he systematically develops a general theory that can be applied in a variety of situations. In so doing he also presents a whole array of duality and perturbation methods. The prerequisites for following this book are relatively few; an appendix sketching certain methods in analysis makes the book reasonably self-contained. Consequently, it should be accessible to all mathematicians, pure or applied, economists and engineers working in nonlinear analysis or optimization.
Critical Point Theory
DOWNLOAD
Author : Martin Schechter
language : en
Publisher: Springer Nature
Release Date : 2020-05-30
Critical Point Theory written by Martin Schechter and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-05-30 with Mathematics categories.
This monograph collects cutting-edge results and techniques for solving nonlinear partial differential equations using critical points. Including many of the author’s own contributions, a range of proofs are conveniently collected here, Because the material is approached with rigor, this book will serve as an invaluable resource for exploring recent developments in this active area of research, as well as the numerous ways in which critical point theory can be applied. Different methods for finding critical points are presented in the first six chapters. The specific situations in which these methods are applicable is explained in detail. Focus then shifts toward the book’s main subject: applications to problems in mathematics and physics. These include topics such as Schrödinger equations, Hamiltonian systems, elliptic systems, nonlinear wave equations, nonlinear optics, semilinear PDEs, boundary value problems, and equations with multiple solutions. Readers will find this collection of applications convenient and thorough, with detailed proofs appearing throughout. Critical Point Theory will be ideal for graduate students and researchers interested in solving differential equations, and for those studying variational methods. An understanding of fundamental mathematical analysis is assumed. In particular, the basic properties of Hilbert and Banach spaces are used.
Topics In Critical Point Theory
DOWNLOAD
Author : Kanishka Perera
language : en
Publisher: Cambridge University Press
Release Date : 2013
Topics In Critical Point Theory written by Kanishka Perera and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013 with Mathematics categories.
Provides an introduction to critical point theory and shows how it solves many difficult problems.
Minimax Systems And Critical Point Theory
DOWNLOAD
Author : Martin Schechter
language : en
Publisher: Springer Science & Business Media
Release Date : 2009-05-28
Minimax Systems And Critical Point Theory written by Martin Schechter and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2009-05-28 with Mathematics categories.
This text starts at the foundations of the field, and is accessible with some background in functional analysis. As such, the book is ideal for classroom of self study. The new material covered also makes this book a must read for researchers in the theory of critical points.
Critical Point Theory And Its Applications
DOWNLOAD
Author : Wenming Zou
language : en
Publisher: Springer Science & Business Media
Release Date : 2006-09-10
Critical Point Theory And Its Applications written by Wenming Zou and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-09-10 with Mathematics categories.
This book presents some of the latest research in critical point theory, describing methods and presenting the newest applications. Coverage includes extrema, even valued functionals, weak and double linking, sign changing solutions, Morse inequalities, and cohomology groups. Applications described include Hamiltonian systems, Schrödinger equations and systems, jumping nonlinearities, elliptic equations and systems, superlinear problems and beam equations.
Linking Methods In Critical Point Theory
DOWNLOAD
Author : Martin Schechter
language : en
Publisher: Springer Science & Business Media
Release Date : 1999-07-01
Linking Methods In Critical Point Theory written by Martin Schechter and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 1999-07-01 with Mathematics categories.
As is well known, The Great Divide (a.k.a. The Continental Divide) is formed by the Rocky Mountains stretching from north to south across North America. It creates a virtual "stone wall" so high that wind, rain, snow, etc. cannot cross it. This keeps the weather distinct on both sides. Since railroad trains cannot climb steep grades and tunnels through these mountains are almost formidable, the Canadian Pacific Railroad searched for a mountain pass providing the lowest grade for its tracks. Employees discovered a suitable mountain pass, called the Kicking Horse Pass, el. 5404 ft., near Banff, Alberta. (One can speculate as to the reason for the name.) This pass is also used by the Trans-Canada Highway. At the highest point of the pass the railroad tracks are horizontal with mountains rising on both sides. A mountain stream divides into two branches, one flowing into the Atlantic Ocean and the other into the Pacific. One can literally stand (as the author did) with one foot in the Atlantic Ocean and the other in the Pacific. The author has observed many mountain passes in the Rocky Mountains and Alps. What connections do mountain passes have with nonlinear partial dif ferential equations? To find out, read on ...
Canadian Journal Of Mathematics
DOWNLOAD
Author :
language : en
Publisher:
Release Date : 1995
Canadian Journal Of Mathematics written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1995 with categories.
Self Dual Partial Differential Systems And Their Variational Principles
DOWNLOAD
Author : Nassif Ghoussoub
language : en
Publisher: Springer Science & Business Media
Release Date : 2008-10-08
Self Dual Partial Differential Systems And Their Variational Principles written by Nassif Ghoussoub and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2008-10-08 with Mathematics categories.
This text is intended for a beginning graduate course on convexity methods for PDEs. The generality chosen by the author puts this under the classification of "functional analysis". The book contains new results and plenty of examples and exercises.
Advances In Deterministic And Stochastic Analysis
DOWNLOAD
Author : Nguyen Minh Chuong
language : en
Publisher: World Scientific
Release Date : 2007
Advances In Deterministic And Stochastic Analysis written by Nguyen Minh Chuong and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2007 with Science categories.
Trent Duncan did a good job holding his family together after his dad died. Hed kept his little sister out of trouble and taught her about life. Its just too bad he couldnt do the same for himself. Now hes the man your momma always warned you about: charming, smooth talking--and jobless. Hes got a phony business card and a line for every situation--and every conquest. But the ultimate player is about to play himself right outta the game. Because a couple of Trents ex-girlfriends are about to make him wish hed listened to his momma. . . The only person Trent cant seem to get around anymore is his big brother, Wil. Wils got problems of his own. He thought he was happily married, until his wife, Diane, stopped being intimate with him. Shes got her reasons, but if she doesnt explain herself soon, she may lose her husband to his voluptuous--and lusty--new secretary. Meanwhile, little sister Melanie is all grown up and sure shes met her prince--literally. Prince may be a friend of Trents, but the two men are like night and day. Prince is the kind of man Melanie would like to have kids with. Trouble is, shes not alone. Pretty soon, these three very different siblings have something in common--theyre all in hot water. And they need to find a way to help themselves--and each other--before they get burned. . .
Index Theory In Nonlinear Analysis
DOWNLOAD
Author : Chungen Liu
language : en
Publisher: Springer
Release Date : 2019-05-22
Index Theory In Nonlinear Analysis written by Chungen Liu and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-05-22 with Mathematics categories.
This book provides detailed information on index theories and their applications, especially Maslov-type index theories and their iteration theories for non-periodic solutions of Hamiltonian systems. It focuses on two index theories: L-index theory (index theory for Lagrangian boundary conditions) and P-index theory (index theory for P-boundary conditions). In addition, the book introduces readers to recent advances in the study of index theories for symmetric periodic solutions of nonlinear Hamiltonian systems, and for selected boundary value problems involving partial differential equations.