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Existence of three solutions for a Neumann problem involving the p ( x )‐Laplace operator
Author(s) -
Yin Honghui
Publication year - 2012
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.1568
Subject(s) - mathematics , operator (biology) , von neumann architecture , neumann boundary condition , laplace transform , von neumann's theorem , mathematical analysis , pure mathematics , boundary value problem , finite rank operator , banach space , biochemistry , chemistry , repressor , transcription factor , gene
In this paper, we study the existence of three solutions to a Neumann problem with nonstandard growth conditions. The technical approach is mainly based on three critical points theorem due to Ricceri. Copyright © 2011 John Wiley & Sons, Ltd.