Existence Of Solutions To A Class Of Nonlinear Elliptic Equations With Gradient Discussion

In this paper, we research the existence of positive solutions for quasi-linear elliptic equationsand some new existence theorems are obtained, where Ω (?) R~N is a bounded domain with smooth boundary,f : Ω |_ × R × R~N â†' R is locally Lipschitz continuous and is. Specially, the results in section three are new even if for the case of semi-linear.