Multiplicity of positive solutions for critical singular elliptic systems with concave-convex nonlinearities

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Abstract

In this paper, we consider a singular elliptic system with both concave-convex nonlinearities and critical growth terms in bounded domains. The existence and multiplicity results of positive solutions are obtained by variational methods.

Original languageEnglish
Pages (from-to)295-311
Number of pages17
JournalAdvanced Nonlinear Studies
Volume9
Issue number2
DOIs
StatePublished - 05 2009

Keywords

  • 'Elliptic system
  • Concave-convex
  • Critical Sobolev exponent
  • Nehari manifold

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