In a recent Linux Journal article titled Optimizing Oracle 10g on Linux: Non-RAC ASM vs. LVM by Brent Scalzo. Overall it was an interesting read, but not a true "apples-to-apples" comparison. Which (in his defense) he acknowledges. His conclusion is that LVM is faster than ASM on non-RAC databases.
For a follow up and counter argument to Brent's article, see Wim Coekaert's blog. Both Brent's and Wim's articles are very interesting.