期刊论文

Li, Gongbao

英文

COMMUNICATIONS IN CONTEMPORARY MATHEMATICS

0219-1997

2010

12

6

1069-1092

10.1142/S0219199710004068

Both G. Li and S. Peng were partially supported by Hubei Key Laboratory of Mathematical Sciences and the Key Project of NSFC (No. 10631030). S. Peng was also partially supported by the Program for New Century Excellent Talents in University (No. 07-0350) and self-determined research funds of CCNU from the colleges’ basic research and operation of MOE (CCNU09C01007). S. Yan was partially supported by ARC in Australia.

本校为第一且通讯机构

We consider the following nonlinear Schrodinger-Poisson system in R-3 {-Delta u + u + K(vertical bar y vertical bar)Phi(y)u = Q(vertical bar y vertical bar)vertical bar u vertical bar(p-1)u, y is an element of R-3, -Delta Phi= K(vertical bar y vertical bar)u(2), y is an element of R-3, (0.1) where K(r) and Q(r) are bounded and positive functions, 1 < p < 5. Assume that K(r) and Q(r) have the following expansions (as r -> +infinity): K(r) = a/r(m) + O (1/r(m+theta)), Q(r) = Q(0) + b/r(n) + O(1/r(n+kappa)), where a > 0, b is an element of R, m > 1/2, n > 1, theta > 0, kappa > 0, and Q(0) > 0 are...