Symmetrization and Stabilization of Solutions of Nonlinear Elliptic Equations

• Main Author: Efendiev, Messoud (Author, http://id.loc.gov/vocabulary/relators/aut)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Cham : Springer International Publishing : Imprint: Springer, 2018.
• Edition: 1st ed. 2018.
• Series: Fields Institute Monographs, 36
• Subjects: Partial differential equations.; Dynamics.; Ergodic theory.; Partial Differential Equations.; Dynamical Systems and Ergodic Theory.

This book deals with a systematic study of a dynamical system approach to investigate the symmetrization and stabilization properties of nonnegative solutions of nonlinear elliptic problems in asymptotically symmetric unbounded domains. The usage of infinite dimensional dynamical systems methods for...

Table of Contents:

• Preface
• 1. Preliminaries
• 2. Trajectory dynamical systems and their attractors
• 3. Symmetry and attractors: the case N ≤ 3
• 4. Symmetry and attractors: the case N ≤ 4
• 5. Symmetry and attractors
• 6. Symmetry and attractors: arbitrary dimension
• 7. The case of p-Laplacian operator
• Bibliography. .