논문KCI 등재
THE MONOTONE PROPERTY OF THE FIRST NONZERO EIGENVALUE OF THE P-LAPLACIAN ALONG THE INVERSE MEAN CURVATURE FLOW WITH FORCE TERM
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초록
In this paper, we prove that the first nonzero eigenvalues λ1 of the Laplacian and the p-Laplacian are decreasing along the inverse mean curvature flow with forced term in Euclidean space.
Abstract
In this paper, we prove that the first nonzero eigenvalues λ1 of the Laplacian and the p-Laplacian are decreasing along the inverse mean curvature flow with forced term in Euclidean space.
참고문헌 (16)
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관련 논문AI추천
Monotonicity of the first eigenvalue of the Laplace and the $p$-Laplace operators under a forced mean curvature flowJing Mao대한수학회 · 대한수학회지2018 · 제55권 제6호Evolution of the First Eigenvalue of Weighted p-Laplacian along the Yamabe FlowShahroud Azami경북대학교 자연과학대학 수학과 · Kyungpook Mathematical Journal2019 · 제59권 제2호Eigenvalue monotonicity of $(p,q)$-Laplacian along the Ricci-Bourguignon flowShahroud Azami대한수학회 · 대한수학회논문집2019 · 제34권 제1호First eigenvalues of geometric operators under the Yamabe flowFei Yang, Shouwen Fang대한수학회 · 대한수학회보2016 · 제53권 제4호The first eigenvalue of some $(p,q)$-Laplacian and geometric estimatesShahroud Azami대한수학회 · 대한수학회논문집2018 · 제33권 제1호Some results of evolution of the first eigenvalue of weighted $p$-Laplacian along the extended Ricci flowShahroud Azami대한수학회 · 대한수학회논문집2020 · 제35권 제3호
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