arXiv:1904.02568 Abstract | arXiv Analytics

arXiv:1904.02568 [math.AP]Abstract References Reviews Resources

Rigidity for $p$-Laplacian type equations on compact Riemannian manifolds

Published 2019-04-04Version 1

In this paper, we obtain two rigidity results for $p$-Laplacian type equations on compact Riemannian manifolds by using of the carr\'e du champ and nonlinear flow methods, respectively, where rigidity means that the PDE has only constant solution when a parameter is in a certain range. Moreover, an interpolation inequality is derived as an application.

Comments: 14 pages

Categories: math.AP, math.DG

Subjects: 35J92, 35K92, 58J35, 53C24

Keywords: laplacian type equations, compact riemannian manifolds, nonlinear flow methods, rigidity results, interpolation inequality

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