In this work we analyze the behavior of the spectrum of the peridynamic fractional p-Laplacian, \((-\Delta _p)_{\delta }^{s}\), under the limit process \(\delta \rightarrow 0^+\) or \(\delta \rightarrow +\infty \). We prove spectral convergence to the classical p-Laplacian under a suitable scaling as \(\delta \rightarrow 0^+\) and to the fractional p-Laplacian as \(\delta \rightarrow +\infty \).

中文翻译：

---

周动力分数p-Laplacian的谱稳定性

在这项工作中，我们分析了极限过程\（\ delta \ rightarrow 0 ^下的近动态分数p -Laplacian \（（-\ Delta _p）_ {\ delta} ^ {s} \）的光谱行为。+ \）或\（\ delta \ rightarrow + \ infty \）。我们证明了在适当缩放下经典p -Laplacian的谱收敛为\（\ delta \ rightarrow 0 ^ + \），分数p -Laplacian的谱收敛为\（\ delta \ rightarrow + \ infty \）。