Existence and uniqueness of solutions for nonlocal p-Laplacian problems

Behrouz Emamizadeh; Amin Farjudian

Existence and uniqueness of solutions for nonlocal p-Laplacian problems

Behrouz Emamizadeh^*, Amin Farjudian

^*Corresponding author for this work

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

Abstract

We study the existence and uniqueness of positive solutions to a class of nonlocal boundary-value problems involving the p-Laplacian. Our main tools are a variant of the Schaefer’s fixed point theorem, an inequality which suitably handles the p-Laplacian operator, and a Sobolev embedding which is applicable to the bounded domain.

Original language	English
Article number	274
Journal	Electronic Journal of Differential Equations
Volume	2016
Publication status	Published - 12 Oct 2016
Externally published	Yes

Keywords

Existence
Nonlocal problems
Schaefer’s fixed point theorem
Uniqueness

Cite this

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title = "Existence and uniqueness of solutions for nonlocal p-Laplacian problems",

abstract = "We study the existence and uniqueness of positive solutions to a class of nonlocal boundary-value problems involving the p-Laplacian. Our main tools are a variant of the Schaefer{\textquoteright}s fixed point theorem, an inequality which suitably handles the p-Laplacian operator, and a Sobolev embedding which is applicable to the bounded domain.",

keywords = "Existence, Nonlocal problems, Schaefer{\textquoteright}s fixed point theorem, Uniqueness",

author = "Behrouz Emamizadeh and Amin Farjudian",

note = "Publisher Copyright: {\textcopyright} 2016 Texas State University.",

year = "2016",

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volume = "2016",

journal = "Electronic Journal of Differential Equations",

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T1 - Existence and uniqueness of solutions for nonlocal p-Laplacian problems

AU - Emamizadeh, Behrouz

AU - Farjudian, Amin

PY - 2016/10/12

Y1 - 2016/10/12

N2 - We study the existence and uniqueness of positive solutions to a class of nonlocal boundary-value problems involving the p-Laplacian. Our main tools are a variant of the Schaefer’s fixed point theorem, an inequality which suitably handles the p-Laplacian operator, and a Sobolev embedding which is applicable to the bounded domain.

AB - We study the existence and uniqueness of positive solutions to a class of nonlocal boundary-value problems involving the p-Laplacian. Our main tools are a variant of the Schaefer’s fixed point theorem, an inequality which suitably handles the p-Laplacian operator, and a Sobolev embedding which is applicable to the bounded domain.

KW - Existence

KW - Nonlocal problems

KW - Schaefer’s fixed point theorem

KW - Uniqueness

UR - http://www.scopus.com/inward/record.url?scp=84997482235&partnerID=8YFLogxK

M3 - Article

AN - SCOPUS:84997482235

SN - 1072-6691

VL - 2016

JO - Electronic Journal of Differential Equations

JF - Electronic Journal of Differential Equations

M1 - 274

ER -

Existence and uniqueness of solutions for nonlocal p-Laplacian problems

Abstract

Keywords

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