Solutions Of Nonlinear Differential Equations: Existence Results Via The Variational Approach

Lin Li (Chongqing Technology & Business Univ, China),Shu-zhi Song (Chongqing Technology & Business Univ, China)

Solutions Of Nonlinear Differential Equations: Existence Results Via The Variational Approach
Format
Hardback
Publisher
World Scientific Publishing Co Pte Ltd
Country
Singapore
Published
14 June 2016
Pages
364
ISBN
9789813108608

Solutions Of Nonlinear Differential Equations: Existence Results Via The Variational Approach

Lin Li (Chongqing Technology & Business Univ, China),Shu-zhi Song (Chongqing Technology & Business Univ, China)

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.

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