UBC Theses and Dissertations

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UBC Theses and Dissertations

Global and local minimizers of a doubly nonlocal variational problem Masomeh, Jamshid Nejad


Consider the problem of minimizing the doubly nonlocal energywhich is a doublewell potential. This doubly nonlocal energy arises in the study of microphase separation phenomena for diblock copolymers with nonlocal diffusions and long range interactions. We identify the Γ-limit and also find explicit local minimizers.

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