TY - JOUR
T1 - The Nehari manifold approach for dirichlet problem involving the p(x)-Laplacian equation
AU - Mashiyev, Rabil A.
AU - Ogras, Sezai
AU - Yucedag, Zehra
AU - Avci, Mustafa
PY - 2010
Y1 - 2010
N2 - In this paper, using the Nehari manifold approach and some variational techniques, we discuss the multiplicity of positive solutions for the p(x)-Laplacian problems with non-negative weight functions and prove that an elliptic equation has at least two positive solutions.
AB - In this paper, using the Nehari manifold approach and some variational techniques, we discuss the multiplicity of positive solutions for the p(x)-Laplacian problems with non-negative weight functions and prove that an elliptic equation has at least two positive solutions.
KW - Multiple positive solutions
KW - Nehari manifold
KW - Variable exponent Lebesgue-Sobolev spaces
KW - Variational methods
KW - p(x)-Laplacian
UR - http://www.scopus.com/inward/record.url?scp=77958029968&partnerID=8YFLogxK
U2 - 10.4134/JKMS.2010.47.4.845
DO - 10.4134/JKMS.2010.47.4.845
M3 - Journal Article
AN - SCOPUS:77958029968
SN - 0304-9914
VL - 47
SP - 845
EP - 860
JO - Journal of the Korean Mathematical Society
JF - Journal of the Korean Mathematical Society
IS - 4
ER -