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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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Published in: | Proceedings of the Indian Academy of Sciences. Mathematical sciences 2022-12, Vol.132 (2), Article 76 |
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Main Authors: | , , , |
Format: | Article |
Language: | English |
Subjects: | |
Citations: | Items that this one cites |
Online Access: | Get full text |
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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. |
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ISSN: | 0973-7685 0973-7685 |
DOI: | 10.1007/s12044-022-00714-2 |