In this paper we study the following Henon-like equation { -Delta u = broken vertical bar broken vertical bar y broken vertical bar - 2 broken vertical bar(alpha) u(p), u > 0 in Omega u = 0, on partial derivative Omega, where alpha > 0, p =N + 2/N- 2, Omega = {y is an element of R-N We show that for a > 0 the above problem has infinitely many positive solutions concentrating simultaneously near the interior boundary {x ERN Ix I = 1) and the outward boundary {x is an element of R-N : broken vertical bar X broken vertical bar = 3), whose energy can ...
