English

Uniqueness and radial symmetry of minimizers for a nonlocal variational problem

Analysis of PDEs 2017-06-14 v1

Abstract

In this paper we prove the uniqueness and radial symmetry of minimizers for variational problems that model several phenomena. The uniqueness is a consequence of the convexity of the functional. The main technique is Fourier transform of tempered distributions.

Keywords

Cite

@article{arxiv.1706.04070,
  title  = {Uniqueness and radial symmetry of minimizers for a nonlocal variational problem},
  author = {Orlando Lopes},
  journal= {arXiv preprint arXiv:1706.04070},
  year   = {2017}
}

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2 figures