Existence and nonexistence results for weighted fourth order eigenvalue problems with variable exponent
This paper presents sufficient conditions for the existence and nonexistence of eigenvalues for a $p(x)$-biharmonic equation with Navier boundary conditions and weight function on a bounded domain in $\mathbb{R}^N$. Our approach is mainly based on a adequate variational techniques.
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| Format: | Article |
| Language: | English |
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Sociedade Brasileira de Matemática
2019-07-01
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| Series: | Boletim da Sociedade Paranaense de Matemática |
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| Online Access: | http://periodicos.uem.br/ojs/index.php/BSocParanMat/article/view/31657 |