Nontrivial solutions of discrete nonlinear equations with variable exponent

Mustafa Avci; Alexander Pankov

doi:10.1016/j.jmaa.2015.05.056

Nontrivial solutions of discrete nonlinear equations with variable exponent

Mustafa Avci, Alexander Pankov

Faculty of Science & Technology

Morgan State University

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

18 Citations (Scopus)

Abstract

In the present paper, we show the existence of ground state solution of a discrete p(n)-Laplacian type equation involving unbounded potential by using the Mountain-Pass theorem and Nehari manifold.

Original language	English
Pages (from-to)	22-33
Number of pages	12
Journal	Journal of Mathematical Analysis and Applications
Volume	431
Issue number	1
DOIs	https://doi.org/10.1016/j.jmaa.2015.05.056
Publication status	Published - 1 Nov. 2015

Keywords

Discrete p(n)-Laplacian equation
Ground state solution
Nehari manifold
Palais-Smale condition
Variable exponent sequence space
Variational methods

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10.1016/j.jmaa.2015.05.056

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title = "Nontrivial solutions of discrete nonlinear equations with variable exponent",

abstract = "In the present paper, we show the existence of ground state solution of a discrete p(n)-Laplacian type equation involving unbounded potential by using the Mountain-Pass theorem and Nehari manifold.",

keywords = "Discrete p(n)-Laplacian equation, Ground state solution, Nehari manifold, Palais-Smale condition, Variable exponent sequence space, Variational methods",

author = "Mustafa Avci and Alexander Pankov",

note = "Publisher Copyright: {\textcopyright} 2015 Elsevier Inc.",

year = "2015",

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day = "1",

doi = "10.1016/j.jmaa.2015.05.056",

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T1 - Nontrivial solutions of discrete nonlinear equations with variable exponent

AU - Avci, Mustafa

AU - Pankov, Alexander

PY - 2015/11/1

Y1 - 2015/11/1

N2 - In the present paper, we show the existence of ground state solution of a discrete p(n)-Laplacian type equation involving unbounded potential by using the Mountain-Pass theorem and Nehari manifold.

AB - In the present paper, we show the existence of ground state solution of a discrete p(n)-Laplacian type equation involving unbounded potential by using the Mountain-Pass theorem and Nehari manifold.

KW - Discrete p(n)-Laplacian equation

KW - Ground state solution

KW - Nehari manifold

KW - Palais-Smale condition

KW - Variable exponent sequence space

KW - Variational methods

UR - https://www.scopus.com/pages/publications/84937638056

U2 - 10.1016/j.jmaa.2015.05.056

DO - 10.1016/j.jmaa.2015.05.056

M3 - Journal Article

AN - SCOPUS:84937638056

SN - 0022-247X

VL - 431

SP - 22

EP - 33

JO - Journal of Mathematical Analysis and Applications

JF - Journal of Mathematical Analysis and Applications

IS - 1

ER -

Nontrivial solutions of discrete nonlinear equations with variable exponent

Abstract

Keywords

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