Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4617593 | Journal of Mathematical Analysis and Applications | 2012 | 16 Pages |
Abstract
We study the properties of the minimizers of a singularly perturbed non-convex functional with a penalization term , where I=(0,1), 0<ε≪1 and μ>0 are parameters, u is a given function and W(p)=2(p2−1). We analyze the phenomenon of microstructure formation and show the dependence on μ and u.
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