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Solution of the Dirichlet problem for the Monge-Ampère equation in weight spaces

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Publication:2266821
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DOI10.1007/BF02112332zbMath0562.35023MaRDI QIDQ2266821

I. M. Ivochkina

Publication date: 1985

Published in: Journal of Soviet Mathematics (Search for Journal in Brave)


zbMATH Keywords

Dirichlet problemMonge-Ampere equationnormal solvability


Mathematics Subject Classification ID

Boundary value problems for nonlinear higher-order PDEs (35G30) A priori estimates in context of PDEs (35B45) (Semi-) Fredholm operators; index theories (47A53)


Related Items (3)

Variational problems connected with Monge-Ampère type operators ⋮ On Generalized and Viscosity Solutions of Nonlinear Elliptic Equations ⋮ On the 100th anniversary of the birth of Aleksei Vasil’evich Pogorelov




Cites Work

  • Unnamed Item
  • Construction of a priori bounds for convex solutions of the Monge-Ampère equation by integral methods
  • On the regularity of the monge-ampère equation det (∂2 u/∂xi ∂xj) = f(x, u)




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