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Gradient estimates for bounded solutions of semilinear elliptic equations and the Allen-Cahn equation on manifolds

Abolarinwa, A. and Edeki, S.O. and Oladejo, N. K. and Ogundile, O. P. (2022) Gradient estimates for bounded solutions of semilinear elliptic equations and the Allen-Cahn equation on manifolds. In: ICORTAR, 2022, online.

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Abstract

This paper aims at deriving apriori bounds on the gradient of positve solutions to a class of semilinear elliptic equation, with applications focusing on establishing a liouville type property for the bounded solutions of the Allen-Cahn equation on a complete noncompact Riemannian manifold with nonnegative Ricci curvature.

Item Type: Conference or Workshop Item (Paper)
Subjects: Q Science > QA Mathematics
Divisions: Faculty of Engineering, Science and Mathematics > School of Mathematics
Depositing User: Mrs Patricia Nwokealisi
Date Deposited: 27 May 2022 12:29
Last Modified: 27 May 2022 12:29
URI: http://eprints.covenantuniversity.edu.ng/id/eprint/15893

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