Abstract:

In this paper, using sub and supsolution mecthods and potential estimations, we study following semilinear elliptic equation on R^N with sublinear and suplinear nonlinearities:
-△u=a(x)u^a+λb(x)u^s,x∈R^N
The existence uniqueness and asymptotic properties of bounded positive solution are given, where 0 < α < 1,s > 1 is a constant,λ > O is a paramcter.

Key words: Semilinear elliptic equation, Subsolution, Supsolution, Newton potential