Solutions of Nonlinear Differential Equations

Existence Results via the Variational Approach

Nonfiction, Science & Nature, Mathematics, Differential Equations, Mathematical Analysis
Cover of the book Solutions of Nonlinear Differential Equations by Lin Li, Shu-Zhi Song, World Scientific Publishing Company
View on Amazon View on AbeBooks View on Kobo View on B.Depository View on eBay View on Walmart
Author: Lin Li, Shu-Zhi Song ISBN: 9789813108622
Publisher: World Scientific Publishing Company Publication: April 15, 2016
Imprint: WSPC Language: English
Author: Lin Li, Shu-Zhi Song
ISBN: 9789813108622
Publisher: World Scientific Publishing Company
Publication: April 15, 2016
Imprint: WSPC
Language: English

Variational methods are very powerful techniques in nonlinear analysis and are extensively used in many disciplines of pure and applied mathematics (including ordinary and partial differential equations, mathematical physics, gauge theory, and geometrical analysis).

In our first chapter, we gather the basic notions and fundamental theorems that will be applied throughout the chapters. While many of these items are easily available in the literature, we gather them here both for the convenience of the reader and for the purpose of making this volume somewhat self-contained. Subsequent chapters deal with how variational methods can be used in fourth-order problems, Kirchhoff problems, nonlinear field problems, gradient systems, and variable exponent problems. A very extensive bibliography is also included.

Contents:

  • Preface
  • Some Notations and Conventions
  • Preliminaries and Variational Principles
  • Quasilinear Fourth-Order Problems
  • Kirchhoff Problems
  • Nonlinear Field Problems
  • Gradient Systems
  • Variable Exponent Problems

Readership: Graduate students and researchers interested in variational methods.
Key Features:

  • Each section contains supplementary comments and bibliographical notes
  • The style and the choice of the material make it accessible to all newcomers to the field
  • There is a rich bibliography and an index to aid the reader
View on Amazon View on AbeBooks View on Kobo View on B.Depository View on eBay View on Walmart

Variational methods are very powerful techniques in nonlinear analysis and are extensively used in many disciplines of pure and applied mathematics (including ordinary and partial differential equations, mathematical physics, gauge theory, and geometrical analysis).

In our first chapter, we gather the basic notions and fundamental theorems that will be applied throughout the chapters. While many of these items are easily available in the literature, we gather them here both for the convenience of the reader and for the purpose of making this volume somewhat self-contained. Subsequent chapters deal with how variational methods can be used in fourth-order problems, Kirchhoff problems, nonlinear field problems, gradient systems, and variable exponent problems. A very extensive bibliography is also included.

Contents:

Readership: Graduate students and researchers interested in variational methods.
Key Features:

More books from World Scientific Publishing Company

Cover of the book Food Security and Farm Land Protection in China by Lin Li, Shu-Zhi Song
Cover of the book Clinical Electrocardiography by Lin Li, Shu-Zhi Song
Cover of the book 50 Years of Social Issues in Singapore by Lin Li, Shu-Zhi Song
Cover of the book Foreign Direct Investment by Lin Li, Shu-Zhi Song
Cover of the book Brains Top Down by Lin Li, Shu-Zhi Song
Cover of the book The Singapore Research Story by Lin Li, Shu-Zhi Song
Cover of the book Solving Problems in Geometry by Lin Li, Shu-Zhi Song
Cover of the book The Socio-Economic Approach to Management by Lin Li, Shu-Zhi Song
Cover of the book A Modern Course in the Quantum Theory of Solids by Lin Li, Shu-Zhi Song
Cover of the book Inside Real Innovation: How the Right Approach Can Move Ideas From R&D to Market - And Get the Economy Moving by Lin Li, Shu-Zhi Song
Cover of the book The Knowledge Enterprise by Lin Li, Shu-Zhi Song
Cover of the book 2014 Annual Indices for Expatriates and Ordinary Residents on Cost of Living, Wages and Purchasing Power for World's Major Cities by Lin Li, Shu-Zhi Song
Cover of the book Opening Up China's Markets of Crude Oil and Petroleum Products by Lin Li, Shu-Zhi Song
Cover of the book Measure Theory and Functional Analysis by Lin Li, Shu-Zhi Song
Cover of the book Building a World Class Service Organization (Assessment Tool) by Lin Li, Shu-Zhi Song
We use our own "cookies" and third party cookies to improve services and to see statistical information. By using this website, you agree to our Privacy Policy