Liouville-type theorem for nonlinear elliptic equations involving generalized greiner operator

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SUMMARY

Han and Zhao studied a class of semi-linear elliptic equations with the principal part constructed by generalized Greiner vector fields, introducing the vector field method in their work. As an application, they studied the Liouville property of the following semi-linear equation: ∆ L u + h(ξ )u p=0, on the generalized Greiner vector fields. In the splendid paper, Gidas and 2 Spruck used the method of integral estimate to prove that, for 1 and amp;lt; p and amp;lt; nn+ -2, the following n Equation has no positive entire solution in the . . .

 



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