Duality and Perturbation Methods in Critical Point Theory
Building on min-max methods, Professor Ghoussoub systematically develops a general theory that can be applied in a variety of situations. In so doing he also presents a whole new array of duality and perturbation methods. The prerequisites for following this book are relatively few; an appendix sketching certain methods in analysis makes the book self-contained.
1117036163
Duality and Perturbation Methods in Critical Point Theory
Building on min-max methods, Professor Ghoussoub systematically develops a general theory that can be applied in a variety of situations. In so doing he also presents a whole new array of duality and perturbation methods. The prerequisites for following this book are relatively few; an appendix sketching certain methods in analysis makes the book self-contained.
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Duality and Perturbation Methods in Critical Point Theory

Duality and Perturbation Methods in Critical Point Theory

by N. Ghoussoub
Duality and Perturbation Methods in Critical Point Theory

Duality and Perturbation Methods in Critical Point Theory

by N. Ghoussoub

Overview

Building on min-max methods, Professor Ghoussoub systematically develops a general theory that can be applied in a variety of situations. In so doing he also presents a whole new array of duality and perturbation methods. The prerequisites for following this book are relatively few; an appendix sketching certain methods in analysis makes the book self-contained.

Product Details

ISBN-13: 9780521071956
Publisher: Cambridge University Press
Publication date: 08/14/2008
Series: Cambridge Tracts in Mathematics , #107
Pages: 280
Product dimensions: 6.00(w) x 8.90(h) x 0.80(d)

Table of Contents

1. Lipschitz and smooth perturbed minimization principles; 2. Linear and plurisubharmonic perturbed minimization principles; 3. The classical min-max theorem; 4. A strong form of the min-max principle; 5. Relaxed boundary conditions in the presence of a dual set; 6. The critical set in the mountain pass theorem; 7. Group actions and multiplicity of critical points; 8. The Palais–Smale condition around a dual set - examples; 9. Morse indices of min-max critical points - the non-degenerate case; 10. Morse indices of min-max critical points - the degenerate case; 11. Morse-type information on Palais–Smale sequences; Appendix; References; Index.
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Science & Technology
Mathematics
Mathematical Equations
Mathematical Equations - Differential

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