On the spectrum of the weighted p-Laplacian under the Ricci-harmonic flow

dc.creatorAbolarinwa, A., Edeki, S.O., Ehigie, J. O
dc.date2020
dc.date.accessioned2025-04-04T20:30:53Z
dc.descriptionThis paper studies the behaviour of the spectrum of the weighted p-Laplacian on a complete Riemannian manifold evolving by the Ricci-harmonic flow. Precisely, the first eigenvalue diverges in a finite time along this flow. It is further shown that the same divergence result holds on gradient shrinking and steady almost Ricci-harmonic solitons under the condition that the soliton function is nonnegative and superharmonic. We also continue the program in (Abolarinwa, Adebimpe and Bakare in J. Ineq. Appl. 2019:10, 2019) to the case of volume-preserving Ricci-harmonic flow.
dc.formatapplication/pdf
dc.identifierhttp://eprints.covenantuniversity.edu.ng/15894/
dc.identifier.urihttps://repository.covenantuniversity.edu.ng/handle/123456789/45839
dc.languageen
dc.publisherSpringer
dc.subjectQA Mathematics
dc.titleOn the spectrum of the weighted p-Laplacian under the Ricci-harmonic flow
dc.typeArticle

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