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Positive solutions to some asymptotically linear fractional Schrodinger equations

Analysis of PDEs 2014-11-11 v1

Abstract

This paper is devoted to prove the existence and nonexistence of positive solutions for a class of fractional Schrodinger equation in RN of the We apply a new methods to obtain the existence of positive solutions when f(u) is asymptotically linear with respect to u at infinity.

Keywords

Cite

@article{arxiv.1411.2189,
  title  = {Positive solutions to some asymptotically linear fractional Schrodinger equations},
  author = {Jinguo Zhang and Xiaochun Liu},
  journal= {arXiv preprint arXiv:1411.2189},
  year   = {2014}
}

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29pages