| Critical Point Theory and Its Applications 2006 Edition Contributor(s): Zou, Wenming (Author), Schechter, Martin (Author) |
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ISBN: 038732965X ISBN-13: 9780387329659 Publisher: Springer OUR PRICE: $104.49 Product Type: Hardcover - Other Formats Published: June 2006 Annotation: Since the birth of the calculus of variations, researchers have discovered that variational methods, when they apply, 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. Critical Point Theory and Its Applications presents some of the latest research in the area of critical point theory. Researchers have obtained many new results recently using this approach, and in most cases comparable results have not been obtained with other methods. This book describes the methods and presents the newest applications. The topics covered in the book include extrema, even valued functionals, weak and double linking, sign changing solutions, Morse inequalities, and cohomology groups. The applications described include Hamiltonian systems, Schrdinger equations and systems, jumping nonlinearities, elliptic equations and systems, superlinear problems and beam equations. Many minimax theorems are established without the use of the (PS) compactness condition. |
| Additional Information |
| BISAC Categories: - Mathematics | Mathematical Analysis - Mathematics | Differential Equations - General - Mathematics | Functional Analysis |
| Dewey: 514.74 |
| LCCN: 2006921852 |
| Physical Information: 1.02" H x 9.47" W x 6.37" (1.51 lbs) 332 pages |
| Descriptions, Reviews, Etc. |
| Publisher Description: Since the birth of the calculus of variations, researchers have discovered that variational methods, when they apply, 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. Critical Point Theory and Its Applications presents some of the latest research in the area of critical point theory. Researchers have obtained many new results recently using this approach, and in most cases comparable results have not been obtained with other methods. This book describes the methods and presents the newest applications. The topics covered in the book include extrema, even valued functionals, weak and double linking, sign changing solutions, Morse inequalities, and cohomology groups. The applications described include Hamiltonian systems, Schrödinger equations and systems, jumping nonlinearities, elliptic equations and systems, superlinear problems and beam equations. Many minimax theorems are established without the use of the (PS) compactness condition. |