An Invitation to Variational Methods in Differential Equations

Download or read book An Invitation to Variational Methods in Differential Equations written by David G. Costa and published by Springer Science & Business Media. This book was released on 2010-04-30 with total page 141 pages. Available in PDF, EPUB and Kindle. Book excerpt: This textbook introduces variational methods and their applications to differential equations to graduate students and researchers interested in differential equations and nonlinear analysis. It serves as a sampling of topics in critical point theory. Coverage includes: minimizations, deformations results, the mountain-pass and saddle-point theorems, critical points under constraints, and issues of compactness. Applications immediately follow each result for easy assimilation by the reader. This straightforward and systematic presentation includes many exercises and examples to motivate the study of variational methods.