SOLUTIONS OF NONLINEAR DIFFERENTIAL EQUATIONS: Existence Results via the Variational Approach

by Lin Li, Shu-zhi Song

Overview

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.

Product Details

ISBN-13:	9789813108622
Publisher:	World Scientific Publishing Company, Incorporated
Publication date:	04/15/2016
Series:	TRENDS IN ABSTRACT AND APPLIED ANALYSIS , #3
Sold by:	Barnes & Noble
Format:	eBook
Pages:	364
File size:	30 MB
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