Symmetry and nonexistence of positive solutions of elliptic equations and systems with Hardy terms

Tianling Jin*

*Corresponding author for this work

Research output: Contribution to journalJournal Articlepeer-review

8 Citations (Scopus)

Abstract

We prove some symmetry property for equations with Hardy terms in cones, without any assumption at infinity. We also show symmetry property and nonexistence of entire solutions of some elliptic systems with Hardy weights.

Original languageEnglish
Pages (from-to)965-981
Number of pages17
JournalAnnales de l'Institut Henri Poincare (C) Analyse Non Lineaire
Volume28
Issue number6
DOIs
Publication statusPublished - 2011
Externally publishedYes

Keywords

  • Caffarelli-Kohn-Nirenberg inequality
  • Hardy-Sobolev inequality
  • Lane-Emden system
  • Nonexistence

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