A note on supergravity solutions for partially localized intersecting branes

Using the method developed by Cherkis and Hashimoto we construct partially localized D3 perpendicular to D5(2), D4 perpendicular to D4(2) and M5 perpendicular to M5(3) supergravity solutions where one of the harmonic functions is given in an integral form. This is a generalization of the already known near-horizon solutions. The method fails for certain intersections such as D I perpendicular to D5 (1) which is consistent with the previous no-go theorems. We point out some possible ways of bypassing these results. (C) 2003 Elsevier B.V. All rights reserved.