English

Classification of the stable solution to the fractional $2<s<3$ Lane-Emden equation

Analysis of PDEs 2016-09-05 v1

Abstract

We classify the stable solutions (positive or sign-changing, radial or not) to the following nonlocal Lane-Emden equation: (Δ)su=up1u(-\Delta)^s u=|u|^{p-1}u in Rn\mathbb{R}^n for 2<s<32<s<3.

Keywords

Cite

@article{arxiv.1609.00705,
  title  = {Classification of the stable solution to the fractional $2<s<3$ Lane-Emden equation},
  author = {Senping Luo and Juncheng Wei and Wenming Zou},
  journal= {arXiv preprint arXiv:1609.00705},
  year   = {2016}
}

Comments

43 pages;comments are welcome. arXiv admin note: text overlap with arXiv:1607.04719