Vim-LaTeX defaults to compiling first with
latex and then following the
dvi -> ps -> pdf chain (as per http://vim-latex.sourceforge.net/documentation/latex-suite/customizing-compiling.html). TeXstudio on the other hand likely uses
pdflatex as the first choice.
Something seems to be going wrong when compiling to
dvi and then processing things to reach the
pdf, potentially there is a bug report to be made there if you fancy investigating it and are sure you have everything up-to-date.
Likely the solution you desire is simply to have Vim-LaTeX compiling with
pdflatex from the off, this can be achieved with
let g:Tex_DefaultTargetFormat='pdf' which will then call
g:Tex_CompileRule_pdf for compilation (by default this does
pdflatex -interaction=nonstopmode $*).
It is probably desirable to then add
let g:Tex_MultipleCompileFormats='pdf' to take advantage of Vim-LaTeX's multiple compilation feature (in the same vein as
latexmk) to automatically do the necessary chain of compilations for bibliographies and the like.