Elliptic Systems of Phase Transition Type

This monograph is addressed to readers, beginning from the graduate level, with an interest in any of the following: differential equations – ordinary or partial; nonlinear analysis; the calculus of variations; the relationship of minimal surfaces to diffuse interfaces; or the applied mathematics of...

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Bibliographic Details
Main Authors: Alikakos, Nicholas D., Fusco, Giorgio (Author), Smyrnelis, Panayotis (Author)
Format: eBook
Language:English
Published: Cham Birkhäuser 2018, 2018
Edition:1st ed. 2018
Series:Progress in Nonlinear Differential Equations and Their Applications
Subjects:
Online Access:
Collection: Springer eBooks 2005- - Collection details see MPG.ReNa
Table of Contents:
  • Introduction
  • Connections
  • Basics for the PDE System
  • The Cut-Off Lemma and a Maximum Principle
  • Estimates
  • Symmetry and the Vector Allen-Cahn Equation: the Point Group in Rn
  • Symmetry and the Vector Allen-Cahn Equation: Crystalline and Other Complex Structures
  • Hierarchical Structure - Stratification
  • Vector Minimizers in R2
  • Radial Solutions of ∆u = c2u