Spectral stability for the perydinamic fractional $p$-Laplacian

Alejandro Ortega; Jos\'e C. Bellido

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arxiv 2011.05091 v1 pith:UCIRDSAA submitted 2020-11-10 math.AP

Spectral stability for the perydinamic fractional p-Laplacian

Jos\'e C. Bellido , Alejandro Ortega This is my paper

classification math.AP

keywords deltalaplacianfractionalinftyspectralunderanalyzebehavior

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In this work we analyze the behavior of the spectrum of the peridynamic fractional $p$-Laplacian, $(-\Delta_p)_{\delta}^s$, under the limit process $\delta\to0^+$ or $\delta\to+\infty$. We prove spectral convergence to the classical $p$-Laplacian under a suitable scaling as $\delta\to0^+$ and to the fractional $p$-Laplacian as $\delta\to+\infty$.

Spectral stability for the perydinamic fractional p-Laplacian

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