  We propose a conjecture for the limit of mean-field spin glasses with a
bipartite structure, and show that the conjectured limit is an upper bound. The
conjectured limit is described in terms of the solution of an
infinite-dimensional Hamilton-Jacobi equation. A fundamental difficulty of the
problem is that the nonlinearity in this equation is not convex. We also
question the possibility to characterize this conjectured limit in terms of a
saddle-point problem.
