A New proof of Liouville type theorems for a class of semilinear elliptic equations
Abstract
We study certain typical semilinear elliptic equations in Euclidean space n or on a closed manifold M with nonnegative Ricci curvature. Our proof is based on a crucial integral identity constructed by the invariant tensor method. Together with suitable integral estimates, some classical Liouville theorems will be reestablished.
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