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

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

  • Author : Lin Li
  • Release Date : 2016-04-15
  • Publisher : World Scientific
  • Genre : Mathematics
  • Pages : 362
  • ISBN 13 : 9813108622
  • File Size : 13,13 MB

Solutions Of Nonlinear Differential Equations: Existence Results Via The Variational Approach by Lin Li PDF Summary

Book Description: 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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Semilinear Elliptic Equations for Beginners

Semilinear Elliptic Equations for Beginners

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Semilinear elliptic equations are of fundamental importance for the study of geometry, physics, mechanics, engineering and life sciences. The variational approa