中文

涉及临界非线性的分数阶系统的Nehari流形

偏微分方程分析 2016-01-12 v4

摘要

我们研究了凹凸非线性联合效应对涉及临界Sobolev指数的分数阶系统正解个数的影响。借助Nehari流形,我们证明了当参数对 (λ,μ)(\lambda,\mu) 属于 R2\R^2 的适当子集时,该系统至少存在两个正解。

关键词

引用

@article{arxiv.1509.02713,
  title  = {The Nehari manifold for fractional systems involving critical nonlinearities},
  author = {Xiaoming He and Marco Squassina and Wenming Zou},
  journal= {arXiv preprint arXiv:1509.02713},
  year   = {2016}
}

备注

To appear in Commun. Pure Applied Anal