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Infinitely many weak solutions for a non-homogeneous Neumann problem in Orlicz--Sobolev spaces

Ghasem A. Afrouzi, Shaeid Shokooh, Nguyen T. Chung (2019)

Commentationes Mathematicae Universitatis Carolinae

Under a suitable oscillatory behavior either at infinity or at zero of the nonlinear term, the existence of infinitely many weak solutions for a non-homogeneous Neumann problem, in an appropriate Orlicz--Sobolev setting, is proved. The technical approach is based on variational methods.

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