TY - BOOK AU - Li,Lin and Shu-Zhi Song TI - Solutions of Nonlinear Differential Equations : : Existence Results via the Variational Approach T2 - Trends in Abstract and Applied Analysis SN - 9789813108615 (ebook) U1 - 515.355 23 PY - 2016/// CY - Singapore PB - World Scientific Pub. Co. KW - Differential equations, Nonlinear KW - Numerical solutions KW - Electronic books N1 - Includes bibliographical references (p. 313-345) and index; "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. "Provided by publisher; Electronic reproduction; Singapore; World Scientific; [2015] UR - http://www.worldscientific.com/worldscibooks/10.1142/9955 ER -