Abstract: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.
Keywords: non-homogeneous Neumann problem; variational methods; Orlicz--Sobolev space
DOI: DOI 10.14712/1213-7243.2019.016
AMS Subject Classification: 35D05 35J60 35J20 46N20 58E05