Uniqueness of positive solutions for singular problems involving the p-Laplacian

Arkady Poliakovsky, Itai Shafrir

Research output: Contribution to journalArticlepeer-review

8 Scopus citations

Abstract

We study existence and uniqueness of positive eigenfunctions for the singular eigenvalue problem: - Δpu - λη(x) u p-1/|x|p = μ up-1/|x|p on a bounded smooth domain Ω ⊂ ℝN with zero boundary condition. We also characterize all positive solutions of - Δpu = | N-p/p| u p-1/|x|pin ℝN \{0}.

Original languageEnglish
Pages (from-to)2549-2557
Number of pages9
JournalProceedings of the American Mathematical Society
Volume133
Issue number9
DOIs
StatePublished - 1 Sep 2005
Externally publishedYes

ASJC Scopus subject areas

  • General Mathematics
  • Applied Mathematics

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