Global Solution Curves For Semilinear Elliptic Equations
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Global Solution Curves For Semilinear Elliptic Equations
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Author : Philip Korman
language : en
Publisher: World Scientific
Release Date : 2012
Global Solution Curves For Semilinear Elliptic Equations written by Philip Korman and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012 with Mathematics categories.
This book provides an introduction to the bifurcation theory approach to global solution curves and studies the exact multiplicity of solutions for semilinear Dirichlet problems, aiming to obtain a complete understanding of the solution set. This understanding opens the way to efficient computation of all solutions. Detailed results are obtained in case of circular domains, and some results for general domains are also presented. The author is one of the original contributors to the field of exact multiplicity results.
Global Solution Curves For Semilinear Elliptic Equations
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Author : Philip Korman
language : en
Publisher: World Scientific
Release Date : 2012-02-10
Global Solution Curves For Semilinear Elliptic Equations written by Philip Korman and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-02-10 with Mathematics categories.
This book provides an introduction to the bifurcation theory approach to global solution curves and studies the exact multiplicity of solutions for semilinear Dirichlet problems, aiming to obtain a complete understanding of the solution set. This understanding opens the way to efficient computation of all solutions. Detailed results are obtained in case of circular domains, and some results for general domains are also presented.The author is one of the original contributors to the field of exact multiplicity results.
Solution Set Of Semilinear Elliptic Equations
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Author : Junping Shi
language : en
Publisher: World Scientific Publishing Company
Release Date : 2009
Solution Set Of Semilinear Elliptic Equations written by Junping Shi and has been published by World Scientific Publishing Company this book supported file pdf, txt, epub, kindle and other format this book has been release on 2009 with Mathematics categories.
Lectures On Differential Equations
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Author : Philip L. Korman
language : en
Publisher: American Mathematical Soc.
Release Date : 2019-08-30
Lectures On Differential Equations written by Philip L. Korman and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-08-30 with Differential equations categories.
Lectures on Differential Equations provides a clear and concise presentation of differential equations for undergraduates and beginning graduate students. There is more than enough material here for a year-long course. In fact, the text developed from the author's notes for three courses: the undergraduate introduction to ordinary differential equations, the undergraduate course in Fourier analysis and partial differential equations, and a first graduate course in differential equations. The first four chapters cover the classical syllabus for the undergraduate ODE course leavened by a modern awareness of computing and qualitative methods. The next two chapters contain a well-developed exposition of linear and nonlinear systems with a similarly fresh approach. The final two chapters cover boundary value problems, Fourier analysis, and the elementary theory of PDEs. The author makes a concerted effort to use plain language and to always start from a simple example or application. The presentation should appeal to, and be readable by, students, especially students in engineering and science. Without being excessively theoretical, the book does address a number of unusual topics: Massera's theorem, Lyapunov's inequality, the isoperimetric inequality, numerical solutions of nonlinear boundary value problems, and more. There are also some new approaches to standard topics including a rethought presentation of series solutions and a nonstandard, but more intuitive, proof of the existence and uniqueness theorem. The collection of problems is especially rich and contains many very challenging exercises. Philip Korman is professor of mathematics at the University of Cincinnati. He is the author of over one hundred research articles in differential equations and the monograph Global Solution Curves for Semilinear Elliptic Equations. Korman has served on the editorial boards of Communications on Applied Nonlinear Analysis, Electronic Journal of Differential Equations, SIAM Review, an\ d Differential Equations and Applications.
Positive Global Solutions Of A Nonhomogeneous Semilinear Elliptic Equation
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Author : Henrik Egnell
language : en
Publisher:
Release Date : 1989
Positive Global Solutions Of A Nonhomogeneous Semilinear Elliptic Equation written by Henrik Egnell and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1989 with categories.
Entire Solutions Of Semilinear Elliptic Equations
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Author : Ilya Kuzin
language : en
Publisher: Birkhauser
Release Date : 1997
Entire Solutions Of Semilinear Elliptic Equations written by Ilya Kuzin and has been published by Birkhauser this book supported file pdf, txt, epub, kindle and other format this book has been release on 1997 with Mathematics categories.
Semilinear elliptic equations play an important role in many areas of mathematics and its applications to physics and other sciences. This book presents a wealth of modern methods to solve such equations, including the systematic use of the Pohozaev identities for the description of sharp estimates for radial solutions and the fibring method. Existence results for equations with supercritical growth and non-zero right-hand sides are given.Readers of this exposition will be advanced students and researchers in mathematics, physics and other sciences who want to learn about specific methods to tackle problems involving semilinear elliptic equations.
Semilinear Elliptic Equations
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Author : Takashi Suzuki
language : en
Publisher: Walter de Gruyter GmbH & Co KG
Release Date : 2020-10-12
Semilinear Elliptic Equations written by Takashi Suzuki and has been published by Walter de Gruyter GmbH & Co KG this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-10-12 with Mathematics categories.
This authoritative monograph presents in detail classical and modern methods for the study of semilinear elliptic equations, that is, methods to study the qualitative properties of solutions using variational techniques, the maximum principle, blowup analysis, spectral theory, topological methods, etc. The book is self-contained and is addressed to experienced and beginning researchers alike.
Entire Solutions Of Semilinear Elliptic Equations
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Author : Ilya A. Kuzin
language : en
Publisher: Birkhäuser
Release Date : 2012-01-06
Entire Solutions Of Semilinear Elliptic Equations written by Ilya A. Kuzin and has been published by Birkhäuser this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-01-06 with Mathematics categories.
Semilinear elliptic equations play an important role in many areas of mathematics and its applications to other sciences. This book presents a wealth of modern methods to solve such equations. Readers of this exposition will be advanced students and researchers in mathematics, physics and other.
Lectures On Linear Algebra And Its Applications
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Author : Philip Korman
language : en
Publisher: Walter de Gruyter GmbH & Co KG
Release Date : 2023-10-23
Lectures On Linear Algebra And Its Applications written by Philip Korman and has been published by Walter de Gruyter GmbH & Co KG this book supported file pdf, txt, epub, kindle and other format this book has been release on 2023-10-23 with Mathematics categories.
Semilinear Elliptic Equations For Beginners
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Author : Qing Jun Hou
language : en
Publisher:
Release Date : 2016-08-01
Semilinear Elliptic Equations For Beginners written by Qing Jun Hou and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-08-01 with categories.
Elliptic equation is a class of partial differential equations describing phenomena that do not change from moment to moment, as when a flow of heat or fluid takes place within a medium with no accumulations. The Laplace equation, uxx + uyy = 0, is the simplest such equation describing this condition in two dimensions. In addition to satisfying a differential equation within the region, the elliptic equation is also determined by its values (boundary values) along the boundary of the region, which represent the effect from outside the region. Semilinear elliptic equations play an important role in many areas of mathematics and its applications to other sciences. Semilinear elliptic equations are of fundamental importance for the study of geometry, physics, mechanics, engineering and life sciences. The variational approach to these equations has experienced spectacular success in recent years, reaching a high level of complexity and refinement, with a multitude of applications. Semilinear Elliptic Equations for Beginners is a comprehensive guide to variational methods and their applications to semilinear elliptic problems. This book deals with nonlinear boundary value problems for semilinear elliptic equations on unbounded domains. This book will be of valuable for professors, practitioners, and researchers in mathematics and mathematical physics.