Topological and Variational Methods with Applications to Nonlinear Boundary Value Problems

• Main Authors: Motreanu, Dumitru (Author), Motreanu, Viorica Venera (Author), Papageorgiou, Nikolaos (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: New York, NY : Springer New York : Imprint: Springer, 2014.
• Subjects: Mathematics.; Global analysis (Mathematics).; Manifolds (Mathematics).; Operator theory.; Differential equations.; Partial differential equations.; Calculus of variations.; Partial Differential Equations.; Calculus of Variations and Optimal Control; Optimization.; Operator Theory.; Ordinary Differential Equations.; Global Analysis and Analysis on Manifolds.

This book focuses on nonlinear boundary value problems and the aspects of nonlinear analysis which are necessary to their study. The authors first give a comprehensive introduction to the many different classical methods from nonlinear analysis, variational principles, and Morse theory. They then pr...