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arXiv · 2412.04740

Estimates for the first eigenvalue of the one-dimensional $p$-Laplacian

Ryuji Kajikiya·Shingo Takeuchi
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Abstract

In the present paper, we study the first eigenvalue $\lambda(p)$ of the one-dimensional $p$-Laplacian in the interval $(-1,1)$. We give an upper and lower estimate of $\lambda(p)$ and study its asymptotic behavior as $p \to 1+0$ or $p \to \infty$.

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Ryuji Kajikiya, Shingo Takeuchi. 2024-12-06. Estimates for the first eigenvalue of the one-dimensional $p$-Laplacian. https://doi.org/10.1080/00036811.2025.2480638

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