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

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

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.

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Veröffentlicht in:Journal of the Korean Mathematical Society 2010, Vol.47 (4), p.845-860
Hauptverfasser: Mashiyev, Rabil A, Ogras, Sezai, Yucedag, Zehra, Avci, Mustafa
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Sprache:kor
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Zusammenfassung: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.
ISSN:0304-9914