An Invitation To Variational Methods In Differential Equations (birkhuser Advanced Texts / Bas)
by David G. Costa /
2007 / English / PDF
3.4 MB Download
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.
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.