Multiplicity results for elliptic problems with variable exponent and nonhomogeneous Neumann conditions

Applying three critical point theorems, we prove the existence of at least three weak solutions for a class of differential equations with p(x)‐Laplacian and subject to small perturbations of nonhomogeneous Neumann conditions. Copyright © 2014 John Wiley & Sons, Ltd.

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Bibliographic Details
Published inMathematical methods in the applied sciences Vol. 38; no. 12; pp. 2589 - 2599
Main Authors Heidarkhani, Shapour, Afrouzi, Ghasem A., Hadjian, Armin
Format Journal Article
LanguageEnglish
Published Freiburg Blackwell Publishing Ltd 01.08.2015
Wiley Subscription Services, Inc
Subjects
Critical point
Differential equations
Existence theorems
Exponents
Mathematical analysis
multiple solutions
Neumann problem
p(x)-Laplacian
Perturbation methods
Theorems
variable exponent Sobolev spaces
Online AccessGet full text
ISSN0170-4214
1099-1476
DOI10.1002/mma.3244

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Summary:Applying three critical point theorems, we prove the existence of at least three weak solutions for a class of differential equations with p(x)‐Laplacian and subject to small perturbations of nonhomogeneous Neumann conditions. Copyright © 2014 John Wiley & Sons, Ltd.
Bibliography:ark:/67375/WNG-24RDCQNL-B
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SourceType-Scholarly Journals-1
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content type line 14
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ISSN:0170-4214
1099-1476
DOI:10.1002/mma.3244