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논문 기본 정보
- 자료유형
- 학술저널
- 저자정보
- 발행연도
- 2019.1
- 수록면
- 341 - 352 (12page)
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Let M be an n-dimensional closed Riemannian manifold with metric g,d = e (x)d be the weighted measure and p; be the weighted p-Laplacian. In this article we will study the evolution and monotonicity for the rst nonzero eigenvalue problem of the weighted p-Laplace operator acting on the space of functions along the Yamabeow on closed Riemannian manifolds. We obtann the first variation formula of it along the Yamabeow. We obtain various monotonic quantities and give an example.
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참고문헌 (14)
참고문헌 신청
S. Azami / 2016 / Eigenvalue variation of the p-Laplacian under the Yamabe flow / Cogent math 3:10
S. Azami / 2017 / Monotonicity of eigenvalues of Witten-Laplace operator along the Ricci-Bourguignon flow / AIMS mathematics 2(2):230~243
X. Cao / 2007 / Eigenvalues of(-Δ+R/2)on mannifolds with nonegative curvature operator / Math. Ann 337(2):435~441
X. Cao / 2008 / First eigenvalues of geometric operators under the Ricci flow / Proc. Amer. Math. Soc 136:4075~4078
L. F. D. Cerbo / 2007 / Eigenvalues of the Laplacian under the Ricci flow / Rend. Mat. Appl. 27(7):183~195
S. Azami / 2017 / Monotonicity of eigenvalues of Witten-Laplace operator along the Ricci-Bourguignon flow / AIMS mathematics 2(2):230~243
X. Cao / 2007 / Eigenvalues of(-Δ+R/2)on mannifolds with nonegative curvature operator / Math. Ann 337(2):435~441
X. Cao / 2008 / First eigenvalues of geometric operators under the Ricci flow / Proc. Amer. Math. Soc 136:4075~4078
L. F. D. Cerbo / 2007 / Eigenvalues of the Laplacian under the Ricci flow / Rend. Mat. Appl. 27(7):183~195
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