The minmax principle and 𝑊^{2,𝑝} regularity for solutions of the simplest Isaacs equations

Kovats, Jay

doi:10.1090/S0002-9939-2012-11610-7

The minmax principle and $W^{2,p}$ regularity for solutions of the simplest Isaacs equations
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Proc. Amer. Math. Soc. 140 (2012), 2803-2815 Request permission

Abstract:

In this paper, we consider the simplest uniformly elliptic Isaacs equations and prove that when the control matrix is appropriately separable, $C^{2}$ solutions satisfy an interior $W^{2,p}$ estimate for all $0<p<\infty$.

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