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

Arkady Poliakovsky; Itai Shafrir

doi:10.1090/S0002-9939-05-07290-4

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

Arkady Poliakovsky, Itai Shafrir

Research output: Contribution to journal › Article › peer-review

7 Scopus citations

Abstract

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

Original language	English
Pages (from-to)	2549-2557
Number of pages	9
Journal	Proceedings of the American Mathematical Society
Volume	133
Issue number	9
DOIs	https://doi.org/10.1090/S0002-9939-05-07290-4
State	Published - 1 Sep 2005
Externally published	Yes

ASJC Scopus subject areas

Mathematics (all)
Applied Mathematics

Access to Document

10.1090/S0002-9939-05-07290-4

Cite this

@article{a760de67f1a54b4899913d9c8d58fbda,

title = "Uniqueness of positive solutions for singular problems involving the p-Laplacian",

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}.",

author = "Arkady Poliakovsky and Itai Shafrir",

year = "2005",

month = sep,

day = "1",

doi = "10.1090/S0002-9939-05-07290-4",

language = "English",

volume = "133",

pages = "2549--2557",

journal = "Proceedings of the American Mathematical Society",

issn = "0002-9939",

publisher = "American Mathematical Society",

number = "9",

}

TY - JOUR

T1 - Uniqueness of positive solutions for singular problems involving the p-Laplacian

AU - Poliakovsky, Arkady

AU - Shafrir, Itai

PY - 2005/9/1

Y1 - 2005/9/1

N2 - 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}.

AB - 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}.

UR - http://www.scopus.com/inward/record.url?scp=24944519673&partnerID=8YFLogxK

U2 - 10.1090/S0002-9939-05-07290-4

DO - 10.1090/S0002-9939-05-07290-4

M3 - Article

AN - SCOPUS:24944519673

SN - 0002-9939

VL - 133

SP - 2549

EP - 2557

JO - Proceedings of the American Mathematical Society

JF - Proceedings of the American Mathematical Society

IS - 9

ER -

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

Abstract

ASJC Scopus subject areas

Access to Document

Other files and links

Fingerprint

Cite this