Positive solutions of a degenerate elliptic equation with logistic reaction

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The degenerate elliptic equation λΔpu + uq–1(1 – ur) = 0 with zero Dirichlet boundary condition, where λ is a positive parameter, 2 p q and r 0, is studied in three aspects: existence of maximal solution, λ dependence of maximal solution and multiplicity of solutions.

Original languageEnglish
Pages (from-to)433-441
Number of pages9
JournalProceedings of the American Mathematical Society
Issue number2
Publication statusPublished - 2000
Externally publishedYes



  • At core
  • At hat
  • Degenerate elliptic equation
  • Multiple solutions
  • P-Laplace operator

ASJC Scopus subject areas

  • Mathematics(all)
  • Applied Mathematics

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