Existence of positive solutions of a class of semilinear elliptic systems

نویسندگان

  • Libin Mou
  • R. E. Greene
  • S. T. Yau
چکیده

Abstract: By a compactness argument, it was shown that, the boundary regularity theorems of Schoen-Uhlenbeck [A regularity theory for harmonic maps. J. Differential Geom. 17 (1982), no. 2, 307–335] and Jost-Meier [Boundary regularity for minima of certain quadratic functionals. Math. Ann. 262 (1983), no. 4, 549–561] are uniform in the domains, boundary data, and the energy. The resulting estimates can be used to obtain higher order regularity.

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تاریخ انتشار 2007