Eigenvalues of weighted 𝑝-Laplacian

Wang, Lihan

doi:10.1090/S0002-9939-2013-11742-9

Eigenvalues of weighted $p$-Laplacian
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by Lihan Wang PDF

Proc. Amer. Math. Soc. 141 (2013), 4357-4370 Request permission

Abstract:

In a paper by Z. Lu and J. Rowlett, it is shown that the eigenvalues of the weighted Laplacian can be approximated by eigenvalues of a naturally associated family of narrow graphs. In this paper, we generalize this result to the $p$-Laplacian. Our approach features overcoming the nonlinearity of the $p$-Laplacian when $p\neq 2$, which is different from the Laplacian case.

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