Variation of the first eigenvalue of $(p,q)$-Laplacian along the Ricci-harmonic flow

	Variation of the first eigenvalue of $(p,q)$-Laplacian along the Ricci-harmonic flow
International Journal of Nonlinear Analysis and Applications
مقاله 15، دوره 12، شماره 2، بهمن 2021، صفحه 193-204 اصل مقاله (410.67 K)
نوع مقاله: Research Paper
شناسه دیجیتال (DOI): 10.22075/ijnaa.2020.18333.2003
نویسنده
Shahroud Azami^*
Department of Pure Mathematics, Faculty of Sciences, Imam Khomeini International University, Qazvin, Iran.
چکیده
In this paper, we study monotonicity for the first eigenvalue of a class of $(p,q)$-Laplacian. We find the first variation formula for the first eigenvalue of $(p,q)$-Laplacian on a closed Riemannian manifold evolving by the Ricci-harmonic flow and construct various monotonic quantities by imposing some conditions on initial manifold.
کلیدواژه‌ها
Laplace؛ Ricci flow؛ Harmonic map
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