Existence of Equivariant Biharmonic Maps
Existence of Equivariant Biharmonic Maps
We consider two compact Riemannian manifolds |$M$| and |$N$| and a compact Lie group |$G$| that acts on both by isometries. Under certain assumptions on the structure of |$M$| and of the quotient space |$M/G$|, we construct equivariant biharmonic maps |$u : M \to N$| with prescribed boundary data.