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

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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Veröffentlicht in:Mathematical methods in the applied sciences 2015-08, Vol.38 (12), p.2589-2599
Hauptverfasser: Heidarkhani, Shapour, Afrouzi, Ghasem A., Hadjian, Armin
Format: Artikel
Sprache:eng
Schlagworte:
Critical point
Differential equations
Existence theorems
Exponents
Mathematical analysis
multiple solutions
Neumann problem
p(x)-Laplacian
Perturbation methods
Theorems
variable exponent Sobolev spaces
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Zusammenfassung: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.
ISSN:0170-4214
1099-1476
DOI:10.1002/mma.3244