Eigenvalue of (p, q)-Laplace System Along the Forced Mean Curvature Flow

Saha, Apurba; Azami, Shahroud; Hui, Shyamal Kumar

doi:10.1007/s40995-021-01185-2

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2022

2024

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Cited by 6 publications

(2 citation statements)

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“…There are many papers on the evolution of the eigenvalue of geometric operators under geometric flows, see [3], [8], [12], [20], [22], [23] and the references therein.…”

Section: Introductionmentioning

confidence: 99%

Evolution of eigenvalue of the Wentzell–Laplace operator along the conformal mean curvature flow

Azami

2024

Arkiv För Matematik

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In this paper, we investigate continuity, differentiability and monotonicity for the first nonzero eigenvalue of the Wentzell-Laplace operator along the conformal mean curvature flow on n-dimensional compact manifolds with boundary for n≥3 under a boundary condition. In especial, we show that the first nonzero eigenvalue of the Wentzell-Laplace operator is monotonic under the conformal mean curvature flow and we find some monotonic quantities dependent to the first nonzero eigenvalue along the conformal mean curvature flow.

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“…There are many papers on the evolution of the eigenvalue of geometric operators under geometric flows, see [3], [8], [12], [20], [22], [23] and the references therein.…”

Section: Introductionmentioning

confidence: 99%

Evolution of eigenvalue of the Wentzell–Laplace operator along the conformal mean curvature flow

Azami

2024

Arkiv För Matematik

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“…Azami, in [7], showed that the first eigenvalue of the Witten-Laplace operator is monotonic along the Ricci-Bourguignon flow with some assumptions and in [8], studied the evolution of the first eigenvalue of the weighted p-Laplacian along the Yamabe flow. Different geometric operators along different geometric flows on Riemannian manifolds are also studied in [9][10][11][12].…”

Section: Introductionmentioning

confidence: 99%