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

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

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.