Separation property of solutions for a semilinear elliptic equation
نویسندگان
چکیده
In this paper, we study the following elliptic problem ∆u+K(x)u p = 0 in R u > 0 in R (∗) where K(x) is a given function in Cα(R \ 0) for some fixed α ∈ (0, 1), p > 1 is a constant. Some existence, monotonicity and asymptotic expansion at infinity of solutions of (∗) are discussed. ∗Research supported in part by the Natural Science Foundation of China and NSFC †Research supported in part by the Natural Science Foundation of China and NSFC
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