This self-contained 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.
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.
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