Critical Point Theory And Its Applications - Zou Wenming; Schechter Martin | Libro Springer 06/2006 - HOEPLI.it


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zou wenming; schechter martin - critical point theory and its applications

Critical Point Theory and Its Applications

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Dettagli

Genere:Libro
Lingua: Inglese
Editore:

Springer

Pubblicazione: 06/2006
Edizione: 2006





Sommario

Preliminaries.- Functionals Bounded Below.- Even Functionals.- Linking and Homoclinic Type Solutions.- Double Linking Theorems.- Superlinear Problems.- Systems with Hamiltonian Potentials.- Linking and Elliptic Systems.- Sign-Changing Solutions.- Cohomology Groups.




Trama

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.








Altre Informazioni

ISBN:

9780387329659

Condizione: Nuovo
Dimensioni: 235 x 156 mm Ø 1420 gr
Formato: Copertina rigida
Pagine Arabe: 318
Pagine Romane: xii






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