摘要
This paper is concerned with exact boundary behavior of large solutions to semilinear elliptic equations △u=b(x)f(u)(C0+|▽u|q),x∈Ω,where Ω is a bounded domain with a smooth boundary in RN,C0≥0,q E [0,2),b∈Clocα(Ω) is positive in but may be vanishing or appropriately singular on the boundary,f∈C[0,∞),f(0)=0,and f is strictly increasing on [0,∞)(or f∈C(R),f(s)> 0,■s∈R,f is strictly increasing on R).We show unified boundary behavior of such solutions to the problem under a new structure condition on f.
This paper is concerned with exact boundary behavior of large solutions to semilinear elliptic equations △u=b（x）f（u）（C0+|▽u|q）,x∈Ω,where Ω is a bounded domain with a smooth boundary in RN,C0≥0,q E [0,2),b∈Clocα（Ω） is positive in but may be vanishing or appropriately singular on the boundary,f∈C[0,∞),f（0）=0,and f is strictly increasing on [0,∞)（or f∈C（R）,f（s）> 0,?s∈R,f is strictly increasing on R）.We show unified boundary behavior of such solutions to the problem under a new structure condition on f.
基金
supported by National Natural Science Foundation of China (Grant No. 11571295)
