University of MaraghehSahand Communications in Mathematical Analysis2322-580719320220901Three Weak Solutions for an Anisotropic Variable Exponent Problem with Neumann Boundary Condition355325408710.22130/scma.2022.540486.1003ENTahereh -Norouzi GharaDepartment of Mathematics, Faculty of Mathematical Sciences, University of Mazandaran, Babolsar, Iran.0000-0002-5327-7981SomayeKhademlooDepartment of Basic Sciences, Babol Noshirvani University of Technology Babol, Iran.GhasemAlizadeh AfrouziDepartment of Mathematics, Faculty of Mathematical Sciences, University of Mazandaran, Babolsar, Iran.LinLiSchool of Mathematics and Statistics, Chongqing Technology and Business University, Chongqing 400067, China, Chongqing Key Laboratory of Economic and Social Application Statistics.Journal Article20211007In 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.https://scma.maragheh.ac.ir/article_254087_91b00a4d1dc306e1a4599d8aff49950e.pdf