On nonnegative solutions of the differential inequality ${\Delta }_{p}u+{\Delta }_{q}u+V(x)u^s\le 0$ on Riemannian manifolds

Abstract

In this paper, we are concerned with differential inequalities with $(p,q)$-Laplacian operator on Riemannian manifolds. Using a test function argument, we establish Liouville-type theorems under the manifold's geometry and the potential's behavior at infinity.

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