Nonuniform nonresonance at the first eigenvalue of the one-dimensional singular p-Laplacian

Haishen Lü; Donal O’regan; Ravi P. Agarwal

Nonuniform nonresonance at the first eigenvalue of the one-dimensional singular p-Laplacian

Haishen Lü
, Donal O’regan
, Ravi P. Agarwal

Mathematics

Hohai University
Department of Mathematical Sciences

Research output: Contribution to a Journal (Peer & Non Peer) › Article › peer-review

5 Citations (Scopus)

Abstract

In this paper, general existence theorems are presented forthe singular equation (Formula presented.) Throughout, our nonlinearity is allowed to change sign. The singularity may occur at u = 0; t = 0, t = 1 and f may be nonuniform nonresonant at the first eigenvalue.

Original language	English
Pages (from-to)	97-114
Number of pages	18
Journal	Memoirs on Differential Equations and Mathematical Physics
Volume	34
Publication status	Published - 2005

Keywords

Nonuniform nonresonance condition
One dimensional singular p-Laplacian
Positive solution

Cite this

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title = "Nonuniform nonresonance at the first eigenvalue of the one-dimensional singular p-Laplacian",

abstract = "In this paper, general existence theorems are presented forthe singular equation (Formula presented.) Throughout, our nonlinearity is allowed to change sign. The singularity may occur at u = 0; t = 0, t = 1 and f may be nonuniform nonresonant at the first eigenvalue.",

keywords = "Nonuniform nonresonance condition, One dimensional singular p-Laplacian, Positive solution",

author = "Haishen L{\"u} and Donal O{\textquoteright}regan and Agarwal, \{Ravi P.\}",

year = "2005",

language = "English",

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journal = "Memoirs on Differential Equations and Mathematical Physics",

issn = "1512-0015",

publisher = "Andrea Razmadze Mathematical Institute",

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T1 - Nonuniform nonresonance at the first eigenvalue of the one-dimensional singular p-Laplacian

AU - Lü, Haishen

AU - O’regan, Donal

AU - Agarwal, Ravi P.

PY - 2005

Y1 - 2005

N2 - In this paper, general existence theorems are presented forthe singular equation (Formula presented.) Throughout, our nonlinearity is allowed to change sign. The singularity may occur at u = 0; t = 0, t = 1 and f may be nonuniform nonresonant at the first eigenvalue.

AB - In this paper, general existence theorems are presented forthe singular equation (Formula presented.) Throughout, our nonlinearity is allowed to change sign. The singularity may occur at u = 0; t = 0, t = 1 and f may be nonuniform nonresonant at the first eigenvalue.

KW - Nonuniform nonresonance condition

KW - One dimensional singular p-Laplacian

KW - Positive solution

UR - https://www.scopus.com/pages/publications/39749175922

M3 - Article

AN - SCOPUS:39749175922

SN - 1512-0015

VL - 34

SP - 97

EP - 114

JO - Memoirs on Differential Equations and Mathematical Physics

JF - Memoirs on Differential Equations and Mathematical Physics

ER -

Nonuniform nonresonance at the first eigenvalue of the one-dimensional singular p-Laplacian

Abstract

Keywords

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