  We study Born-Infeld strings in a six dimensional brane world scenario
recently suggested by Giovannini, Meyer and Shaposhnikov (GMS). In the limit of
the Einstein-Abelian-Higgs model, we classify the solutions found by GMS.
Especially, we point out that the warped solutions, which lead to localisation
of gravity, are the - by the presence of the cosmological constant - deformed
inverted string solutions. Further, we construct the Born-Infeld analogues of
the anti-warped solutions and determine the domain of existence of these
solutions, while a analytic argument leads us to a "no-go" hypothesis:
solutions which localise gravity do NOT exist in a 6 dimensional
Einstein-Born-Infeld-Abelian-Higgs (EBIAH) brane world scenario. This latter
hypothesis is confirmed by our numerical results.
