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We prove Liouville theorem for the equation $\Delta v + N v^p + M |\nablav|^{q}= 0$ in $\mathbb R^n$, with $M, N > 0, q = \frac{2p}{p + 1}$ in thecritical and subcritical case. The proof is based on an integral identity andYoung inequality.

Liouville theorem for elliptic equations involving the sum of the function and its gradient in $\mathbb R^n$