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Topics in Critical Point Theory

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Release : 2014-05-14
Genre : MATHEMATICS
Kind : eBook
Book Rating : 514/5 ( reviews)

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Book Synopsis Topics in Critical Point Theory by : Kanishka Perera

Download or read book Topics in Critical Point Theory written by Kanishka Perera. This book was released on 2014-05-14. Available in PDF, EPUB and Kindle. Book excerpt: Provides an introduction to critical point theory and shows how it solves many difficult problems.

Topics in Critical Point Theory

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Author :
Release : 2013
Genre : Mathematics
Kind : eBook
Book Rating : 66X/5 ( reviews)

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Book Synopsis Topics in Critical Point Theory by : Kanishka Perera

Download or read book Topics in Critical Point Theory written by Kanishka Perera. This book was released on 2013. Available in PDF, EPUB and Kindle. Book excerpt: Provides an introduction to critical point theory and shows how it solves many difficult problems.

Critical Point Theory and Its Applications

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Release : 2006-09-10
Genre : Mathematics
Kind : eBook
Book Rating : 684/5 ( reviews)

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Book Synopsis Critical Point Theory and Its Applications by : Wenming Zou

Download or read book Critical Point Theory and Its Applications written by Wenming Zou. This book was released on 2006-09-10. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Sign-Changing Critical Point Theory

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Release : 2008-12-15
Genre : Mathematics
Kind : eBook
Book Rating : 588/5 ( reviews)

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Book Synopsis Sign-Changing Critical Point Theory by : Wenming Zou

Download or read book Sign-Changing Critical Point Theory written by Wenming Zou. This book was released on 2008-12-15. Available in PDF, EPUB and Kindle. Book excerpt: Many nonlinear problems in physics, engineering, biology and social sciences can be reduced to finding critical points of functionals. While minimax and Morse theories provide answers to many situations and problems on the existence of multiple critical points of a functional, they often cannot provide much-needed additional properties of these critical points. Sign-changing critical point theory has emerged as a new area of rich research on critical points of a differentiable functional with important applications to nonlinear elliptic PDEs. This book is intended for advanced graduate students and researchers involved in sign-changing critical point theory, PDEs, global analysis, and nonlinear functional analysis.

Critical Point Theory

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Release : 2020-05-30
Genre : Mathematics
Kind : eBook
Book Rating : 03X/5 ( reviews)

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Book Synopsis Critical Point Theory by : Martin Schechter

Download or read book Critical Point Theory written by Martin Schechter. This book was released on 2020-05-30. Available in PDF, EPUB and Kindle. Book excerpt: 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.

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