We consider the global properties of nonnegative solutions of the semilinear elliptic equations in the entire space. By employing Pohozaev identity in the entire space and the results concerning the asymptotic behavior of nonnegative solutions, we establish some theorems of Liouville type.
Yūki NAITO. "Nonexistence results of positive solutions for semilinear elliptic equations in ." J. Math. Soc. Japan 52 (3) 637 - 644, July, 2000. https://doi.org/10.2969/jmsj/05230637