Minimax Systems and Critical Point Theory [Hardcover]

This text starts at the foundations of the field, and is accessible with some background in functional analysis. As such, the book is ideal for classroom of self study. The new material covered also makes this book a must read for researchers in the theory of critical points.

The study of critical points has grown rapidly and has led to new applications in many scientific fields. This monograph covers the latest in the field. Topics include semilinear problems, Fucik spectrum, elliptic systems, sandwich pairs and more.

The study of critical points has grown rapidly in recent years, finding applications in most every science. This book spans the material required for those who want a survey of modern critical point theory.

Key features:

*Provides an introduction to linking methods and generalizations

*Explains the fundamentals of minimax systems

*Many examples and applications

This text starts at the foundations of the field, and is accessible with some background in functional analysis. As such, the book is ideal for classroom of self study. The new material covered also makes this book a must read for researchers in the theory of critical points.

Preface.-.Critical Points of Functionals.-.Minimax Systems.-.Examples of Minimax Systems.-.Ordinary Differential Equations.-.The Method using Flows.-.Finding Linking Sets.-.Sandwich Pairs.-.Semilinear Problems.-.Superlinear Problems.-.Weak Linking.-.Resonance Problems.-.Rotationally Invariant Solutions.-.Semilinear Wave Equations.-.Type (II) Regions.-.Weak Sandwich Pairs.-.Multiple Solutions.-.Second Order Periodic Systems.-.Bibliography

From the reviews:

The monograph has seventeen chapters and an extensive bibliography very useful for further reading. & this ilóÚ