EXISTENCE OF 3-DIMENSIONAL TOROIDAL MHD EQUILIBRIA WITH NONCONSTANT PRESSURE

We establish an existence result for the three-dimensional MHD equatio ns (del x B) x B = del p del . B = 0 B . n\(partial derivative T) = 0 with p not equal const in tori T without symmetry. More precisely, our theorems insure the existence of sharp boundary solutions for tori wh ose departure from axisymmetry is sufficiently small; they allow for s olutions to be constructed with an arbitrary number of pressure jumps. (C) 1996 John Wiley & Sons, Inc.