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A HARNACK TYPE INEQUALITY FOR SOME CONFORMALLY INVARIANT EQUATIONS ON HALF EUCLIDEAN SPACE 被引量:1

A HARNACK TYPE INEQUALITY FOR SOME CONFORMALLY INVARIANT EQUATIONS ON HALF EUCLIDEAN SPACE
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摘要 We establish a Harnack type inequality on half Euclidean space for general conformally invariant fully nonlinear elliptic equations of second order. We establish a Harnack type inequality on half Euclidean space for general conformally invariant fully nonlinear elliptic equations of second order.
出处 《Acta Mathematica Scientia》 SCIE CSCD 2009年第4期1105-1112,共8页 数学物理学报(B辑英文版)
基金 Partially supported by NSF grant DMS-0701545
关键词 Harnack conformally invariant ELLIPTIC Harnack conformally invariant elliptic
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  • 1Caffarelli L, Nirenberg L, Spruck J. The Dirichlet problem for nonlinear second-order elliptic equations, Ⅲ: Functions of the eigenvalues of the Hessian. Acta Math, 1985, 155:261-301.
  • 2Guan P, Wang G. Local estimates for a class of fully nonlinear equations arising from conformal geometry. Int Math Res Not, 2003, (26): 1413-1432.
  • 3Li A, Li Y Y. On some conformally invariant fully nonlinear equations. Comm Pure Appl Math, 2003, 56: 1416-1464.
  • 4Li A, Li Y Y. Private notes, 2003.
  • 5Li A, Li Y Y. On some conformally invariant fully nonlinear equations, Part Ⅱ: Liouville, Harnack and Yamabe. arXiv: math.AP/0403442 v1 25 Mar 2004.
  • 6Li A, Li Y Y. On some conformally invariant fully nonlinear equations, Part Ⅱ: Liouville, Harnack and Yamabe. Aeta Math, 2005, 195:117-154.
  • 7Li A, Li Y Y. A fully nonlinear version of the Yamabe problem on manifolds with boundary. J Eur Math Soc, 2006, 8:295-316.
  • 8Li Y Y. Local gradient estimates of solutions to some conformally invariant fully nonlinear equations. arXiv: math.AP/0605559; to appear in Comm Pure Appl Math.
  • 9Li Y Y, Zhang L. Liouville type theorems and Harnack type inequalities for semilinear elliptic equations. Journal d'Analyse Mathematique, 2003, 90:27-87.
  • 10Schoen R. Courses at Stanford University, 1988, and New York University, 1989.

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