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A New proof of Liouville type theorems for a class of semilinear elliptic equations (2507.07664v1)
Published 10 Jul 2025 in math.AP
Abstract: We study certain typical semilinear elliptic equations in Euclidean space $\bR{n}$ 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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