A remark on the first eigenvalue of the p-Laplacian on compact submanifolds in the unit sphere
arXiv:2403.06081
Abstract
An integral inequality for the singular p-laplacian is established for 3/2<p<2. As consequence, lower bounds for the first eigenvalue of the p-laplacian are obtained for minimal submanifolds and prescribed scalar curvature submanifolds in the unit sphere.
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