Extensions of Moser–Bangert Theory

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 u