The Estimates Near the Boundary for Solutions on Monge-Ampere Equations

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The present paper is concerned with the global C²-estimates of solutions to boundary value problems for degenerate elliptic. Monge-Ampere equations. Both of degeneracies of the boundary data and the right hand side of the equation are considered. In two dimensional case a result about smooth solutions is also contained.
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The Estimates Near the Boundary for Solutions on Monge-Ampere Equations. (1994). Journal of Partial Differential Equations, 7(2), 97-110. https://www.global-sci.com/index.php/jpde/article/view/3765

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