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Radially symmetric solutions to the H\`enon-Lane-Emden system on the critical hyperbola

Analysis of PDEs 2014-01-28 v1 Classical Analysis and ODEs

Abstract

We use variational methods to study the existence of nontrivial and radially symmetric solutions to the H\`enon-Lane-Emden system with weights, when the exponents involved lie on the "critical hyperbola". We also discuss qualitative properties of solutions and nonexistence results.

Keywords

Cite

@article{arxiv.1302.0996,
  title  = {Radially symmetric solutions to the H\`enon-Lane-Emden system on the critical hyperbola},
  author = {Roberta Musina and K. Sreenadh},
  journal= {arXiv preprint arXiv:1302.0996},
  year   = {2014}
}

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19 pages