Critical point theory : sandwich and linking systems / Martin Schechter.

This monograph collects cutting-edge results and techniques for solving nonlinear partial differential equations using critical points. Including many of the author's own contributions, a range of proofs are conveniently collected here, Because the material is approached with rigor, this book w...

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Bibliographic Details
Main Author: Schechter, Martin
Format: eBook
Published: Cham : Birkhäuser, 2020.
Online Access:Click for online access
Table of Contents:
  • Preface
  • Linking Systems
  • Sandwich Systems
  • Linking Sandwich Sets
  • The Monotonicity Trick
  • Infinite Dimensional Linking
  • Differential Equations
  • Schrödinger Equations
  • Zero in the Spectrum
  • Global Solutions
  • Second Order Hamiltonian Systems
  • Core Functions
  • Custom Monotonicity Methods
  • Elliptic Systems
  • Flows and Critical Points
  • The Semilinear Wave Equation
  • Nonlinear Optics
  • Radially Symmetric Wave Equations
  • Multiple Solutions.