Sibirskie Èlektronnye Matematicheskie Izvestiya [Siberian Electronic Mathematical Reports]
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Sibirskie Èlektronnye Matematicheskie Izvestiya [Siberian Electronic Mathematical Reports], 2005, Volume 2, Pages 208–217 (Mi semr25)  
This article is cited in 5 scientific papers (total in 5 papers)

Research papers

On a nonlinear eigenvalue problem in Sobolev spaces with variable exponent

T.-L. Dinu

Department of Mathematics, "Fraţii Buzeşti" College
Full-text PDF (200 kB) Citations (5)
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Abstract: We consider a class of nonlinear Dirichlet problems involving the $p(x)$–Laplace operator. Our framework is based on the theory of Sobolev spaces with variable exponent and we establish the existence of a weak solution in such a space. The proof relies on the Mountain Pass Theorem.
Received August 12, 2005, published November 3, 2005
Bibliographic databases:
Document Type: Article
UDC: 517.957
MSC: 35J60
Language: English
Citation: T.-L. Dinu, “On a nonlinear eigenvalue problem in Sobolev spaces with variable exponent”, Sib. Èlektron. Mat. Izv., 2 (2005), 208–217
Citation in format AMSBIB
\Bibitem{Din05}
\by T.-L.~Dinu
\paper On a~nonlinear eigenvalue problem in Sobolev spaces with variable exponent
\jour Sib. \`Elektron. Mat. Izv.
\yr 2005
\vol 2
\pages 208--217
\mathnet{http://mi.mathnet.ru/semr25}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2177999}
\zmath{https://zbmath.org/?q=an:1108.35055}
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