Progress in Nonlinear Differential Equations and Their Applications: Locally Minimal Solutions

Rabinowitz, Paul H.; Stredulinsky, Edward W.

This monograph presents extensions of the Moser–Bangert approach that include solutions of a family of nonlinear elliptic PDEs on Rⁿ and an Allen–Cahn PDE model of phase transitions.

After recalling the relevant Moser–Bangert results, Extensions of Moser–Bangert Theory pursues the rich structure of the set of solutions of a simpler model case, expanding upon the studies of Moser and Bangert to include solutions that merely have local minimality properties. Subsequent chapters build upon the introductory results, making the monograph self contained.

The work is intended for mathematicians who specialize in partial differential equations and may also be used as a text for a graduate topics course in PDEs.

Details

Published by: Birkhäuser

Publication Date: 2011-06-24

Format: Hardcover

ISBN-13: 9780817681166

DOI: 10.1007/978-0-8176-8117-3

Dimensions: 235cm x155cm

Pages: 208