Tahereh Norouzi Ghara - Department of Mathematics, Faculty of Mathematical Sciences, University of Mazandaran, Babolsar, Iran.
Somaye Khademloo - Department of Basic Sciences, Babol Noshirvani University of Technology Babol, Iran.
Ghasem Alizadeh Afrouzi - Department of Mathematics, Faculty of Mathematical Sciences, University of Mazandaran, Babolsar, Iran.
Lin Li - School of Mathematics and Statistics, Chongqing Technology and Business University, Chongqing ۴۰۰۰۶۷, China, Chongqing Key Laboratory of Economic and Social Application Statistics.

In the present work, we investigate an interval of real parameters \lambda for which the problem admits at least one nontrivial solution. Moreover we deal with the existence results of three solutions for anisotropic problems with variable exponents.

Neumann problem, Three weak solutions, Anisotropic variable exponent problems