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arxiv: 0712.2185 · v1 · submitted 2007-12-13 · 🧮 math.AP

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

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keywords associateddifferentialneumannnonhomogeneousorlicz--sobolevaccountbifurcationboundary
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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.

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