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Multiplicity results for elliptic problems with variable exponent and nonhomogeneous Neumann conditions
Author(s) -
Heidarkhani Shapour,
Afrouzi Ghasem A.,
Hadjian Armin
Publication year - 2015
Publication title -
mathematical methods in the applied sciences
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.719
H-Index - 65
eISSN - 1099-1476
pISSN - 0170-4214
DOI - 10.1002/mma.3244
Subject(s) - mathematics , neumann boundary condition , multiplicity (mathematics) , von neumann architecture , critical exponent , exponent , mathematical analysis , laplace operator , class (philosophy) , pure mathematics , boundary value problem , scaling , geometry , linguistics , philosophy , artificial intelligence , computer science
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.