Since the birth of the Calculus of Variations, it has been realized that when they apply, variational methods can obtain better results than most other methods. Moreover, they apply in a very large number of situations. It was realized many years ago that the solutions of a great number of problems are in effect critical points of functionals. In this volume we present some of the latest research in the area of critical point theory. Many new results have been recently obtained by researchers using this approach, and in most cases comparable results have not been obtained by other methods. We describe these methods and present the newest applications. In a typical application, one first establishes that the solution of a given problem is a critical point of a functional G{u) on an appropriate space, i.e., a “point” in the space where G\u) = 0. Finding the points where the derivatives vanish is tantamount to solving the problem. The main difficulty is finding candidates. [download]
Format : Ebook.Pdf
Tidak ada komentar:
Posting Komentar