Proves nonexistence of solutions to (p,q)-Laplace equations in subcritical range p-1<α<q*-1 via vector field method, differential identity, and cutoff integral estimates.
On nonnegative solutions of the differential inequality $\Delta_pu+ \Delta_q u+V(x)u^s\leq 0$ on Riemannian manifolds
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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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Liouville Theorem for $(p,q)$-Laplace Equations
Proves nonexistence of solutions to (p,q)-Laplace equations in subcritical range p-1<α<q*-1 via vector field method, differential identity, and cutoff integral estimates.