Arbor,
Assuming you have modelled the whole pressure vessel then the vast majority of your structure will be in tension, hence the many negative eigenvalues found by Abaqus. There may be a considerable number of these encountered before Abaqus spits out the positive eigenvalue you seek. I am not aware of any means of suppressing negative eigenvalues. Have you considered running a static large deflection non-linear analysis using NLGEOM instead? This may be more appropriate than a buckling analysis for this type of problem.