Γ-convergence: an application to eigenvalue problems
Keywords:
p(x)-Laplacian, eigenvalue problem, Γ-convergence, equicoercivenessAbstract
We apply an elementry result of Γ-convergence to show the dependance on p(·) of the first eigenvalue λp(x) of the p(x)-Laplacian problem
\(\begin{cases} -∆_{p(x)}(u) = λ |u|^{p(x)−2}u, \; in Ω, \\ u = 0, \; on ∂Ω. \end{cases}\)
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Published
2019-07-30
How to Cite
Brahmi, I., El Khalil, A., & Touzani, A. (2019). Γ-convergence: an application to eigenvalue problems. Italian Journal of Pure and Applied Mathematics, 42, 449–457. Retrieved from https://journals.uniurb.it/index.php/ijpam/article/view/7222
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Section
Articoli - Forum Editrice
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Copyright (c) 2019 Ibtissam Brahmi, Abdelouahed El Khalil, Abdelfattah Touzani
This work is licensed under a Creative Commons Attribution 4.0 International License.
L'opera è pubblicata sotto Licenza Creative Commons Attribuzione 4.0 Internazionale (CC-BY)
