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Extensions of Moser-Bangert theory : locally minimal solutions

Author: Paul H Rabinowitz; Edward W Stredulinsky
Publisher: New York : Birkhäuser : Springer, ©2011.
Series: Progress in nonlinear differential equations and their applications, v. 81.
Edition/Format:   Print book : EnglishView all editions and formats
Summary:
"With the goal of establishing a version for partial differential equations (PDEs) of the Aubry-Mather theory of monotone twist maps, Moser and then Bangert studied solutions of their model equations that possessed certain minimality and monotonicity properties. This monograph presents extensions of the Moser-Bangert approach that include solutions of a family of nonlinear elliptic PDEs on R[superscript n] and an  Read more...
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Additional Physical Format: Online version:
Rabinowitz, Paul H.
Extensions of Moser-Bangert theory.
New York : Birkhäuser : Springer, ©2011
(OCoLC)745005664
Document Type: Book
All Authors / Contributors: Paul H Rabinowitz; Edward W Stredulinsky
ISBN: 9780817681166 0817681167
OCLC Number: 703548448
Description: viii, 208 pages ; 25 cm.
Contents: pt. 1. Basic solutions --
pt. 2. Shadowing cases --
pt. 3. Solutions of (PDE) defind on R² x T[superscript n]⁻².
Series Title: Progress in nonlinear differential equations and their applications, v. 81.
Responsibility: Paul H. Rabinowitz, Edward W. Stredulinsky.

Abstract:

"With the goal of establishing a version for partial differential equations (PDEs) of the Aubry-Mather theory of monotone twist maps, Moser and then Bangert studied solutions of their model equations that possessed certain minimality and monotonicity properties. This monograph presents extensions of the Moser-Bangert approach that include solutions of a family of nonlinear elliptic PDEs on R[superscript n] and an Allen-Cahn PDE model of phase transitions."--Page 4 of cover.

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