Uniqueness of Positive Solutions for Singular Problems Involving the p-Laplacian Academic Article uri icon

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}.

publication date

  • September 1, 2005