On the second eigenvalue of combination between local and nonlocal 𝑝-Laplacian

Goel, Divya; Sreenadh, K.

doi:10.1090/proc/14542

On the second eigenvalue of combination between local and nonlocal $p$-Laplacian
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by Divya Goel and K. Sreenadh PDF

Proc. Amer. Math. Soc. 147 (2019), 4315-4327 Request permission

Abstract:

In this paper, we study the mountain pass characterization of the second eigenvalue of the operator $-\Delta _p u -\Delta _{J,p}u$ and study shape optimization problems related to these eigenvalues.

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