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Nontrivial solution for an anisotropic variable exponent problem with Neumann boundary condition

By using variational methods and critical point theory, we establish the existence of one nontrivial solution for a Neumann problem. We prove the existence by applying the theory of variable exponent Sobolev spaces.

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Bibliographic Details
Published in:Proceedings of the Indian Academy of Sciences. Mathematical sciences 2022-12, Vol.132 (2), Article 76
Main Authors: Afrouzi, G A, Khademloo, S, Li, L, Norouzi, Ghara T
Format: Article
Language:English
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Summary:By using variational methods and critical point theory, we establish the existence of one nontrivial solution for a Neumann problem. We prove the existence by applying the theory of variable exponent Sobolev spaces.
ISSN:0973-7685
0973-7685
DOI:10.1007/s12044-022-00714-2