A Class of Fully Nonlinear Equations Arising in Conformal Geometry
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Abstract In this paper, we consider the equations of Krylov type in conformal geometry on closed smooth Riemannian manifolds, which can be viewed as an extension of $\sigma _k$-Yamabe equation. Moreover, we prove local gradient and 2nd-derivative estimates for solutions to these equations and establish an existence result.
2003 ◽
Vol 52
(2)
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pp. 399-420
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2009 ◽
Vol 62
(10)
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pp. 1293-1326
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2006 ◽
Vol 255
(1)
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pp. 17-34
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2006 ◽
Vol 343
(4)
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pp. 249-252
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1996 ◽
pp. 80-92
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