Multiple ‎solutions‎ for an anisotropic variable exponent problem with Neumann boundary ‎condition

Norouzi Ghara, Tahereh; Alizadeh Afrouzi, Ghasem

doi:10.22075/ijnaa.2026.37681.5459

Multiple ‎solutions‎ for an anisotropic variable exponent problem with Neumann boundary ‎condition

Articles in Press

Document Type : Research Paper

Authors

Tahereh Norouzi Ghara

Ghasem Alizadeh Afrouzi

Department of Mathematics‎, ‎Faculty of Mathematical Sciences,‎ ‎University of Mazandaran‎, ‎Babolsar‎, ‎Iran

10.22075/ijnaa.2026.37681.5459

Abstract

By using variational methods and critical point theory‎, ‎we establish‎ ‎the existence of multiple ‎solutions‎ for a Neumann problem‎. ‎‎‎Moreover, we deal with the existence results of solutions for anisotropic problems with variable ‎exponents.‎‎

Keywords

‎Neumann problem‎, ‎Three weak solutions‎, Nontrivial ‎solution,‎ ‎Anisotropic variable exponent ‎problems.‎‎‎‎

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