THE NEHARI MANIFOLD APPROACH FOR DIRICHLET PROBLEM INVOLVING THE p(x)-LAPLACIAN EQUATION

Mashiyev, Rabil A.Ogras, SezaiYucedag, ZehraAvci, Mustafa2024-04-242024-04-2420100304-99142234-3008https://doi.org/10.4134/JKMS.2010.47.4.845https://hdl.handle.net/11468/19588In 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.eninfo:eu-repo/semantics/openAccessVariable Exponent Lebesgue-Sobolev SpacesP(X)-LaplacianVariational MethodsNehari ManifoldMultiple Positive SolutionsTHE NEHARI MANIFOLD APPROACH FOR DIRICHLET PROBLEM INVOLVING THE p(x)-LAPLACIAN EQUATIONTHE NEHARI MANIFOLD APPROACH FOR DIRICHLET PROBLEM INVOLVING THE p(x)-LAPLACIAN EQUATIONArticle474845860WOS:0002793782000132-s2.0-7795802996810.4134/JKMS.2010.47.4.845Q3Q3