Abstract
In this paper we prove an asymptotic behavior for the radial eigenvalues to the Dirichlet p-Laplacian problem \(-\Delta _p\,u = \lambda \,|u|^{p-2}u\) in \(\Omega\), \(u=0\) on \(\partial \Omega\), where \(\Omega\) is an annular domain \(\Omega =\Omega _{R,\overline{R}}\) in \(\mathbb {R}^N\).
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Acknowledgements
The author was partially supported by FAPEMIG/Brazil APQ-02375-21, APQ 04528-22, RED-00133-21 and by CNPq/Brazil 305447/2022-0.
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Communicated by Jaime Angulo Pava.
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de Araujo, A.L.A. Asymptotic behavior for the radial eigenvalues of p-Laplacian in certain annular domains. São Paulo J. Math. Sci. 18, 206–215 (2024). https://doi.org/10.1007/s40863-024-00425-8
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DOI: https://doi.org/10.1007/s40863-024-00425-8