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Existence of solutions for a class of nonlinear Choquard equations with critical growth

Analysis of PDEs 2016-09-20 v2
Authors: Yong Ao
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Abstract

In this paper, we consider a class of nonlinear Choquard equations with critical growth, and we show the existence of solutions of the equations. Besides, we consider the corresponding minimizing problem and prove the existence of a minimizer.

Keywords

nonlinear Choquard equation critical growth existence of solutions minimizing problem variational methods Hardy-Littlewood-Sobolev inequality

Cite

@article{arxiv.1608.07064,
  title  = {Existence of solutions for a class of nonlinear Choquard equations with critical growth},
  author = {Yong Ao},
  journal= {arXiv preprint arXiv:1608.07064},
  year   = {2016}
}

Comments

14 pages

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