This paper is concerned with the existence and qualitative property of solutions for a Henon-like equation -Delta u = parallel to x parallel to -2 vertical bar(tau)u(2)*(-1-epsilon), u > 0, x is an element of Omega, u = 0, x is an element of partial derivative Omega where Omega = {x is an element of R-N: 1 < vertical bar x vertical bar < 3} with N >= 4, 2* = 2N/(N - 2), tau >0 and epsilon > 0 is a small parameter. For any given k is an element of Z(+), we construct positive solutions concentrating simultaneously at 2k different points for E sufficiently small, among which k points are near the...
