pt. 1. Basic solutions -- pt. 2. Shadowing cases -- pt. 3. Solutions of (PDE) defind on R² x T[superscript n]⁻²
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 Allen-Cahn PDE model of phase transitions."--Page 4 of cover
Analysis
Partial Differential Equations
Calculus of Variations and Optimal Control; Optimization