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Regularity of almost extremal solutions of Monge–Ampère equations

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Publication:3971462
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DOI10.1017/S0308210500027578zbMath0735.35036OpenAlexW2313773885MaRDI QIDQ3971462

John I. E. Urbas

Publication date: 25 June 1992

Published in: Proceedings of the Royal Society of Edinburgh: Section A Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0308210500027578

zbMATH Keywords

convex domainMonge-Ampère equationsclassical regularityalmost extremal solutions


Mathematics Subject Classification ID

Nonlinear boundary value problems for linear elliptic equations (35J65)


Related Items

Boundary regularity for solutions of the equation of prescribed Gauss curvature, Unnamed Item



Cites Work

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  • The equation of prescribed Gauss curvature without boundary conditions
  • The generalized Dirichlet problem for equations of Monge-Ampère type
  • Global Hölder estimates for equations of Monge-Ampère type
  • On the equation of surfaces of prescribed mean curvature. Existence and uniqueness without boundary conditions
  • Regularity of generalized solutions of Monge-Ampère equations
  • On second derivative estimates for equations of Monge-Ampère type
  • On the regularity of the monge-ampère equation det (∂2 u/∂xi ∂xj) = f(x, u)
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