Includes bibliographic references (p. 205-206) and index.
Pt.1. Basic solutions
Pt.2. Shadowing cases
Pt.3. Solutions of (PDE) defind on R2 x T[superscript n]−2.
"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."--P.  of cover.