2 edition of **Qualitative analysis of nonlinear elliptic partial differential equations** found in the catalog.

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- 4 Currently reading

Published
**2008**
by Hindawi Publishing Corporation in New York, Cairo
.

Written in English

This book provides a comprehensive introduction to the mathematical theory of nonlinear problems described by elliptic partial differential equations. These equations can be seen as nonlinear versions of the classical Laplace equation, and they appear as mathematical models in different branches of physics, chemistry, biology, genetics, and engineering and are also relevant in differential geometry and relativistic physics. Much of the modern theory of such equations is based on the calculus of variations and functional analysis. Concentrating on single-valued or multivalued elliptic equations with nonlinearities of various types, the aim of this volume is to obtain sharp existence or nonexistence results, as well as decay rates for general classes of solutions. Many technically relevant questions are presented and analyzed in detail. A systematic picture of the most relevant phenomena is obtained for the equations under study, including bifurcation, stability, asymptotic analysis, and optimal regularity of solutions. The method of presentation should appeal to readers with different backgrounds in functional analysis and nonlinear partial differential equations. All chapters include detailed heuristic arguments providing thorough motivation of the study developed later on in the text, in relationship with concrete processes arising in applied sciences. A systematic description of the most relevant singular phenomena described in this volume includes existence (or nonexistence) of solutions, unicity or multiplicity properties, bifurcation and asymptotic analysis, and optimal regularity. The book includes an extensive bibliography and a rich index, thus allowing for quick orientation among the vast collection of literature on the mathematical theory of nonlinear phenomena described by elliptic partial differential equations.

**Edition Notes**

Bibliographie p. [177]-185.

Statement | Vicenţiu D. Rǎdulescu |

Series | Contemporary mathematics and its applications -- 37 |

The Physical Object | |
---|---|

Format | [Texte imprimé] : monotonicity, analytic, and variational methods / |

Pagination | 1 vol. (VIII- 190 p.) |

Number of Pages | 190 |

ID Numbers | |

Open Library | OL27083885M |

ISBN 10 | 9774540395 |

ISBN 10 | 9789774540394 |

OCLC/WorldCa | 690341176 |

Partial differential equations with variable exponents: variational methods and qualitative analysis | Rădulescu, Vicenţiu D.; Repovš, Dušan | download | B–OK. Download books for free. Find books. This book provides a unified analysis and scheme for the existence and uniqueness of strong and mild solutions to certain fractional kinetic equations. This book is devoted to the qualitative study of solutions of superlinear elliptic and parabolic partial differential equations and systems. This class of problems contains, in.

This book serves as a bridge between graduate textbooks and research articles in the area of nonlinear elliptic partial differential equations. Whereas graduate textbooks present basic concepts, the student can hardly get a feel for research by relying solely on such texts; by contrast, whereas journal articles present results on the forefront. differential equations away from the analytical computation of solutions and toward both their numerical analysis and the qualitative theory. This book provides an introduction to the basic properties of partial dif-ferential equations (PDEs) and to the techniques that have proved useful in analyzing Size: 2MB.

of nonlinear partial differential equations may lead to the problem of solving a large number of simultaneous nonlinear algebraic equations. Another method for solving elliptic partial differential equations is the ﬁnite element method which again is well developed for linear systems. Nonlinear elliptic problems play an increasingly important role in mathematics, science and engineering, creating an exciting interplay between the subjects. This is the first and only book to prove in a systematic and unifying way, stability, convergence and computing results for the different numerical methods for nonlinear elliptic problems.

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PDF | OnVicentiu D. Radulescu and others published Nonlinear Elliptic Partial Differential Equations Qualitative Analysis of | Find, read and cite all the research you need on Author: Vicentiu D. Radulescu. equations. The level of this book is aimed at beginning graduate students.

Prerequisites include a truly advanced calculus course, basic knowledge on functional analysis and linear elliptic equations, as well as the necessary tools on Sobolevspaces. In this book, we are concerned with some basic monotonicity, analytic, and varia-File Size: 2MB.

In this book, we are concerned with some basic monotonicity, analytic, and varia-tional methods which are directly related to the theory of nonlinear Qualitative analysis of nonlinear elliptic partial differential equations book diﬀerential equations of elliptic type.

The abstract theorems are applied both to single-valued and to multivalued boundary value problems. We develop in this book abstract results in. Qualitative Analysis of Nonlinear Elliptic Partial Differential Equations (Contemporary Mathematics and Its Applications Book Series) Vicentiu Radulescu The book provides a comprehensive introduction to the mathematical theory of nonlinear problems described by elliptic partial differential equations.

Summary. Partial Differential Equations with Variable Exponents: Variational Methods and Qualitative Analysis provides researchers and graduate students with a thorough introduction to the theory of nonlinear partial differential equations (PDEs) with a variable exponent, particularly those of elliptic type.

The book presents the most important variational methods for elliptic PDEs described. The third of three volumes on partial differential equations, this is devoted to nonlinear PDE. It treats a number of equations of classical continuum mechanics, including relativistic versions, as well as various equations arising in differential geometry, such as in the study of minimal surfaces, isometric imbedding, conformal deformation, harmonic maps, and prescribed Gauss curvature.5/5(2).

This book serves as a bridge between graduate textbooks and research articles in the area of nonlinear elliptic partial differential equations. Whereas graduate textbooks present basic concepts, the student can hardly get a feel for research by relying solely on such texts; by contrast, whereas journal articles present results on the forefront Author: Wenxiong Chen, Congming Li.

Book Description. Partial Differential Equations with Variable Exponents: Variational Methods and Qualitative Analysis provides researchers and graduate students with a thorough introduction to the theory of nonlinear partial differential equations (PDEs) with a variable exponent, particularly those of elliptic type.

The book presents the most important variational methods for elliptic PDEs. Request PDF | Partial Differential Equations with Variable Exponents: Variational Methods and Qualitative Analysis | Partial Differential Equations with Variable Exponents: Variational Methods and.

Partial Differential Equations with Variable Exponents: Variational Methods and Qualitative Analysis provides researchers and graduate students with a thorough introduction to the theory of nonlinear partial differential equations (PDEs) with a variable exponent, particularly those of elliptic type.

Harry Bateman was a famous English mathematician. In writing this book he had endeavoured to supply some elementary material suitable for the needs of students who are studying the subject for the first time, and also some more advanced work which may be useful to men who are interested more in physical mathematics than in the developments of differential geometry and the theory of functions.

Partial Differential Equations with Variable Exponents: Variational Methods and Qualitative Analysis provides researchers and graduate students with a thorough introduction to the theory of nonlinear partial differential equations (PDEs) with a variable exponent, particularly those of elliptic type.

The book presents the most important variational methods for elliptic PDEs described by. A First Course in Elementary Differential Equations. This note covers the following topics: Qualitative Analysis, Existence and Uniqueness of Solutions to First Order Linear IVP, Solving First Order Linear Homogeneous DE, Solving First Order Linear Non Homogeneous DE: The Method of Integrating Factor, Modeling with First Order Linear Differential Equations, Additional Applications: Mixing.

Abstract. In Chap. 5, we explained how to apply the finite element method to nonlinear ordinary differential saw that calculating the finite element solution of nonlinear differential equations required us to solve a nonlinear system of algebraic equations and discussed how these algebraic equations could be : Jonathan Whiteley.

In mathematics, a hyperbolic partial differential equation of order n is a partial differential equation (PDE) that, roughly speaking, has a well-posed initial value problem for the first n − 1 derivatives.

More precisely, the Cauchy problem can be locally solved for arbitrary initial data along any non-characteristic of the equations of mechanics are hyperbolic, and so the.

Buy Qualitative Analysis of Nonlinear Elliptic Partial Differential Equations: Monotonicity, Analytic, and Variational Methods (Colored) (Contemporary Mathematics and Its Applications) 1 by Radulescu, Vicentiu D.

(ISBN: ) from Amazon's Book Store. Everyday low prices and free delivery on Author: Vicentiu D. Radulescu. Nonlinear boundary value problems for ordinary differential equations are also considered.

Comprised of 14 chapters, this volume first discusses the use of fixed-point theorems in ordered Banach spaces to prove existence and multiplicity result for periodic solutions of semilinear parabolic differential equations of the second order.

Pairs of positive solutions of nonlinear elliptic partial differential equations. Indiana Univ. Math. 23 (), – MathSciNet CrossRef zbMATH Google ScholarCited by: 8. Partial Differential Equations with Variable Exponents: Variational Methods and Qualitative Analysis provides you with a thorough introduction to the theory of nonlinear partial differential equations (PDE with a variable exponent, particularly those of elliptic type.

Differential Equations is a collection of papers from the "Eight Fall Conference on Differential Equations" held at Oklahoma State University in October The papers discuss hyperbolic problems, bifurcation function, boundary value problems for Lipschitz equations, and the periodic solutions of systems of ordinary differential equations.

In mathematics, a partial differential equation (PDE) is a differential equation that contains unknown multivariable functions and their partial are used to formulate problems involving functions of several variables, and are either solved by hand, or used to create a computer model.A special case is ordinary differential equations (ODEs), which deal with functions of a single.

Purchase Nonlinear Differential Equations - 1st Edition. Print Book & E-Book. ISBNBook Edition: 1.Author: Andrei D. Polyanin,Valentin F. Zaitsev; Publisher: CRC Press ISBN: Category: Mathematics Page: View: DOWNLOAD NOW» The Handbook of Nonlinear Partial Differential Equations is the latest in a series of acclaimed handbooks by these authors and presents exact solutions of more than nonlinear equations encountered in science and engineering--many more than any.