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Rigidity for -Laplacian type equations on compact Riemannian manifolds
In this paper, we obtain two rigidity results for -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.Comment: 14 page
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