On a nonlinear eigenvalue problem in Sobolev spaces with variable exponent

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dc.creatorDinu, Teodora Liliana
dc.date2005-11-07
dc.date.accessioned2026-07-07T06:50:54Z
dc.date.available2026-07-07T06:50:54Z
dc.descriptionWe 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.
dc.identifierhttps://arxiv.org/abs/math/0511167
dc.identifierhttp://arxiv.org/abs/math/0511167
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/104811
dc.subjectAnalysis of PDEs
dc.subjectMathematical Physics
dc.subject35D05, 35J60, 35P30, 47H15, 58E05
dc.titleOn a nonlinear eigenvalue problem in Sobolev spaces with variable exponent
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