Large Solutions for Harmonic Maps in Two Dimensions *

نویسندگان

  • Haim Brezis
  • Jean-Michel Coron
چکیده

We seek critical points of the functional E(u) = j |Vw|, where Ω is Ω the unit disk in (R and u: Ω -+ S satisfies the boundary condition u = y on dΩ. We prove that if y is not a constant, then E has a local minimum which is different from the absolute minimum. We discuss in more details the case where y(x, y) = (Rx, Ry, ̂ Γ^R) and R <

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تاریخ انتشار 2004