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arXiv:0712.2185 [math.AP]AbstractReferencesReviewsResources

Neumann problems associated to nonhomogeneous differential operators in Orlicz--Sobolev spaces

Mihai Mihailescu, Vicentiu Radulescu

Published 2007-12-13Version 1

We study a nonlinear Neumann boundary value problem associated to a nonhomogeneous differential operator. Taking into account the competition between the nonlinearity and the bifurcation parameter, we establish sufficient conditions for the existence of nontrivial solutions in a related Orlicz--Sobolev space.

Journal: Annales de l'Institut Fourier (2008) vol. 58
Categories: math.AP
Subjects: 35D05, 35J60, 35J70, 58E05, 68T40, 76A02
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