Liouville Theorem for Lichnerowicz Equation on Complete Noncompact Manifolds

Liang Zhao
2014 Funkcialaj Ekvacioj  
In this paper, we study the gradient estimates for positive solutions to the Lichnerowicz equation s f u þ hu ¼ Au p þ Bu Àq , where h, p, q, A, B are real constants and p > 1, q > 1: Moreover, by these gradient estimates, we can get some very interesting Liouville theorems.
doi:10.1619/fesi.57.163 fatcat:lsprdwo2ijhevnsfymti36mtbi