On singular liouville systems

A. Poliakovsky, G. Tarantello

Research output: Chapter in Book/Report/Conference proceedingChapterpeer-review

4 Scopus citations


We discuss a class of planar systems of Liouville type in presence of singular sources. When the coupling matrix admits positive entries, we provide necessary and sufficient conditions for the existence of radial solutions and corresponding uniqueness. For this purpose we point out a log HLS inequality in system’s form that involves weights and holds in the radial setting.

Original languageEnglish
Title of host publicationProgress in Nonlinear Differential Equations and Their Application
PublisherSpringer US
Number of pages33
StatePublished - 1 Jan 2014

Publication series

NameProgress in Nonlinear Differential Equations and Their Application
ISSN (Print)1421-1750
ISSN (Electronic)2374-0280


  • Liouville systems with Dirac measures
  • cooperative systems
  • logarithm HLS inequalities for systems
  • radial solutions

ASJC Scopus subject areas

  • Analysis
  • Computational Mechanics
  • Mathematical Physics
  • Control and Optimization
  • Applied Mathematics


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