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 language | English |
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Pages (from-to) | 2549-2557 |
Number of pages | 9 |
Journal | Proceedings of the American Mathematical Society |
Volume | 133 |
Issue number | 9 |
DOIs | |
State | Published - 1 Sep 2005 |
Externally published | Yes |
ASJC Scopus subject areas
- General Mathematics
- Applied Mathematics