Fast decaying solutions of Lane-Emden equations involving nonhomogeneous potential

Huyuan Chen; Xia Huang; Feng Zhou

Fast decaying solutions of Lane-Emden equations involving nonhomogeneous potential

Analysis of PDEs 2019-12-03 v3

Authors: Huyuan Chen , Xia Huang , Feng Zhou

Abstract

We are interested in studying positive solutions of Lane-Emden equation $-\Delta u= V u^p\quad {\rm in}\quad \mathbb{R}^N\setminus\{0\},$ where $V$ is a nonhomogeneous potential satisfying some extra hypotheses. We construct a sequence of fast decaying solutions.

Keywords

lane-emden equation nonhomogeneous potential positive solutions fast decaying solutions partial differential equations

Cite

@article{arxiv.1803.01563,
  title  = {Fast decaying solutions of Lane-Emden equations involving nonhomogeneous potential},
  author = {Huyuan Chen and Xia Huang and Feng Zhou},
  journal= {arXiv preprint arXiv:1803.01563},
  year   = {2019}
}

Comments

23 pages

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