Displaying similar documents to “A new class of composition operators.”

A nonlocal singular perturbation problem with periodic well potential

Matthias Kurzke (2006)

ESAIM: Control, Optimisation and Calculus of Variations

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For a one-dimensional nonlocal nonconvex singular perturbation problem with a noncoercive periodic well potential, we prove a Γ -convergence theorem and show compactness up to translation in all L p and the optimal Orlicz space for sequences of bounded energy. This generalizes work of Alberti, Bouchitté and Seppecher (1994) for the coercive two-well case. The theorem has applications to a certain thin-film limit of the micromagnetic energy.