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On the optimization of the first weighted eigenvalue
Published online by Cambridge University Press: 12 September 2022
Abstract
For $N\geq 2$, a bounded smooth domain $\Omega$
in $\mathbb {R}^{N}$
, and $g_0,\, V_0 \in L^{1}_{loc}(\Omega )$
, we study the optimization of the first eigenvalue for the following weighted eigenvalue problem:










Keywords
MSC classification
- Type
- Research Article
- Information
- Proceedings of the Royal Society of Edinburgh Section A: Mathematics , Volume 153 , Issue 6 , December 2023 , pp. 1777 - 1804
- Copyright
- Copyright © The Author(s), 2022. Published by Cambridge University Press on behalf of The Royal Society of Edinburgh
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