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On C^(1 ,α) Regularity for Monge- Ampre Equation

On C^(1,α) Regularity for Monge Ampère Equation
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摘要 In this paper, we establish global C 1,1/4 estimates for the Dirichlet problem for the Monge Ampère equation, which yield the corresponding existence and regularity results. Our conditions apply to both degenerate and nondegenerate cases. In this paper, we establish global C 1,1/4 estimates for the Dirichlet problem for the Monge Ampère equation, which yield the corresponding existence and regularity results. Our conditions apply to both degenerate and nondegenerate cases.
出处 《Northeastern Mathematical Journal》 CSCD 2000年第1期46-50,共5页 东北数学(英文版)
基金 The abdus salam International Centre for Theoretical Physics and the NNSF!( 1 9771 0 0 9) of China
关键词 Global C 1 1/4 regularity Monge Ampère equation degenerate and nondegenerate cases Global C 1,1/4 regularity Monge Ampère equation degenerate and nondegenerate cases
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参考文献2

  • 1N. M. Ivochkina.A priori estimate of $$\parallel u\parallel _{c^2 (\overline \Omega )}$$ for convex solutions of the Dirichlet problem for the Monge-Ampere equations[J].Journal of Soviet Mathematics.1983(5)
  • 2Gilbarg,D. and Trudinger,N. S.Elliptic Partial Differential Equations of Second Order , Second ed[]..1983

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