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A necessary and sufficient condition for the existence of positive solutions to the singular p-Laplacian

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Abstract

This paper studies the boundary value problem(phi(p)(u)) + q(t)(f(u) + g(u)) = 0 (0 t 1)u(0) = u(1) = 0in the case p 1. A necessary and sufficient condition for the existence of C-1[0, 1] positive solutions and a sufficient condition for the existence of C[0, 1] positive solutions are presented.
Original languageEnglish (Ireland)
Number of pages20
JournalZEITSCHRIFT FUR ANALYSIS UND IHRE ANWENDUNGEN
Volume22
Publication statusPublished - 1 Jan 2003

Authors (Note for portal: view the doc link for the full list of authors)

  • Authors
  • Agarwal, RP;Lu, HS;O'Regan, D

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