<p>This self-contained monograph presents extensions of the Moser–Bangert approach that include solutions of a family of nonlinear elliptic PDEs on <i>R<sup>n</sup></i> and an Allen–Cahn PDE model of phase transitions. After recalling the relevant Moser–Bangert results, <i>Extensions of Moser–Bangert Theory</i> 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. </p><p>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.</p>
