Abstract
We describe some estimates for solutions of nonlinear discrete schemes, which are analogues of fundamental estimates of Krylov and Safonov for linear elliptic partial differential equations and the resultant Schauder estimates for nonlinear elliptic equations of Evans, Krylov and Safonov.
The first author was supported by the Taiwan National Science Council; the second author was supported by an Australian Research Council Grant.
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Kuo, HJ., Trudinger, N.S. (2005). Estimates for Solutions of Fully Nonlinear Discrete Schemes. In: Rodrigues, J.F., Seregin, G., Urbano, J.M. (eds) Trends in Partial Differential Equations of Mathematical Physics. Progress in Nonlinear Differential Equations and Their Applications, vol 61. Birkhäuser Basel. https://doi.org/10.1007/3-7643-7317-2_20
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DOI: https://doi.org/10.1007/3-7643-7317-2_20
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