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

Journal of the Korean Mathematical Society = 대한수학회지, v.47 no.4, 2010년, pp.845 - 860  

Mashiyev, Rabil A. (DEPARTMENT OF MATHEMATICS FACULTY OF SCIENCE AND ARTS DICLE UNIVERSITY) ,  Ogras, Sezai (DEPARTMENT OF MATHEMATICS FACULTY OF SCIENCE AND ARTS DICLE UNIVERSITY) ,  Yucedag, Zehra (DEPARTMENT OF MATHEMATICS FACULTY OF SCIENCE AND ARTS DICLE UNIVERSITY) ,  Avci, Mustafa (DEPARTMENT OF MATHEMATICS FACULTY OF SCIENCE AND ARTS DICLE UNIVERSITY)

Abstract AI-Helper 아이콘AI-Helper

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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참고문헌 (28)

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