Existence of Positive Solutions for p(x)-Laplacian Equations with a Singular Nonlinear Term

Jingjing Liu; Qihu Zhang; Chunshan Zhao

Existence of Positive Solutions for p(x)-Laplacian Equations with a Singular Nonlinear Term

Jingjing Liu, Qihu Zhang, Chunshan Zhao

Mathematical Sciences

Zhengzhou University of Light Industry

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Abstract

In this article, we study the existence of positive solutions for the p(x)-Laplacian Dirichlet problem in a bounded domain Ω ⊂ R^N. The singular nonlinearity term f is allowed to be either.Our main results generalize the results in [15] from constant exponents to variable exponents. In particular, we give the asymptotic behavior of solutions of a simpler equation which is useful for finding supersolutions of differential equations with variable exponents, which is of independent interest.

Original language	American English
Journal	Electronic Journal of Differential Equations
Volume	2014
State	Published - Jul 7 2014

Disciplines

Education
Mathematics

Keywords

Singular nonlinear term
Sub-supersolution method
p(x)-Laplacian

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Existence of Positive Solutions for p(x)-Laplacian Equations withFinal published version, 364 KBLicense: Unspecified

http://ejde.math.txstate.edu/Volumes/2014/155/abstr.html

Cite this

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title = "Existence of Positive Solutions for p(x)-Laplacian Equations with a Singular Nonlinear Term",

abstract = "In this article, we study the existence of positive solutions for the p(x)-Laplacian Dirichlet problem in a bounded domain Ω ⊂ RN. The singular nonlinearity term f is allowed to be either.Our main results generalize the results in [15] from constant exponents to variable exponents. In particular, we give the asymptotic behavior of solutions of a simpler equation which is useful for finding supersolutions of differential equations with variable exponents, which is of independent interest.",

keywords = "Singular nonlinear term, Sub-supersolution method, p(x)-Laplacian",

author = "Jingjing Liu and Qihu Zhang and Chunshan Zhao",

year = "2014",

month = jul,

day = "7",

language = "American English",

volume = "2014",

journal = "Electronic Journal of Differential Equations",

issn = "1072-6691",

publisher = "Texas State University - San Marcos",

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T1 - Existence of Positive Solutions for p(x)-Laplacian Equations with a Singular Nonlinear Term

AU - Liu, Jingjing

AU - Zhang, Qihu

AU - Zhao, Chunshan

PY - 2014/7/7

Y1 - 2014/7/7

N2 - In this article, we study the existence of positive solutions for the p(x)-Laplacian Dirichlet problem in a bounded domain Ω ⊂ RN. The singular nonlinearity term f is allowed to be either.Our main results generalize the results in [15] from constant exponents to variable exponents. In particular, we give the asymptotic behavior of solutions of a simpler equation which is useful for finding supersolutions of differential equations with variable exponents, which is of independent interest.

AB - In this article, we study the existence of positive solutions for the p(x)-Laplacian Dirichlet problem in a bounded domain Ω ⊂ RN. The singular nonlinearity term f is allowed to be either.Our main results generalize the results in [15] from constant exponents to variable exponents. In particular, we give the asymptotic behavior of solutions of a simpler equation which is useful for finding supersolutions of differential equations with variable exponents, which is of independent interest.

KW - Singular nonlinear term

KW - Sub-supersolution method

KW - p(x)-Laplacian

UR - https://digitalcommons.georgiasouthern.edu/math-sci-facpubs/323

M3 - Article

SN - 1072-6691

VL - 2014

JO - Electronic Journal of Differential Equations

JF - Electronic Journal of Differential Equations

ER -

Existence of Positive Solutions for p(x)-Laplacian Equations with a Singular Nonlinear Term

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