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Öğe THE NEHARI MANIFOLD APPROACH FOR DIRICHLET PROBLEM INVOLVING THE p(x)-LAPLACIAN EQUATION(Korean Mathematical Soc, 2010) Mashiyev, Rabil A.; Ogras, Sezai; Yucedag, Zehra; Avci, MustafaIn 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.