Exact Periodic Stripes for Minimizers of a Local/Nonlocal Interaction Functional in General Dimension

@article{Daneri2018ExactPS,
  title={Exact Periodic Stripes for Minimizers of a Local/Nonlocal Interaction Functional in General Dimension},
  author={Sara Daneri and Eris Runa},
  journal={Archive for Rational Mechanics and Analysis},
  year={2018},
  volume={231},
  pages={519-589}
}
  • Sara Daneri, Eris Runa
  • Published 23 February 2017
  • Physics, Mathematics
  • Archive for Rational Mechanics and Analysis
We study the functional considered in Giuliani et al. (Phys Rev B 84:064205, 2011, Commun Math Phys 331(1):333–350, 2014) and Giuliani and Seiringer (Commun Math Phys 347:983–1007, 2016) and a continuous version of it, analogous to the one considered in Goldman and Runa (On the optimality of stripes in a variational model with nonlocal interactions, 2016. arXiv:1611.07228). The functionals consist of a perimeter term and a nonlocal term which are in competition. For both the continuous and… 

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