A Note on <em>C</em><sup>1,α</sup> Estimates for Solutions of Fully Nonlinear Elliptic Equations and Obstacle Problems
Year: 1992
Journal of Partial Differential Equations, Vol. 5 (1992), Iss. 4 : pp. 1–12
Abstract
We deal with C^{1,α} interior estimates for solutions of fully nonlinear equation F(D²u, Du, x) = f(x) with the bounded gradient Du and a bounded f(x). Based on these estimates we obtain the existence of strong solutions of the obstacle problem for fully nonlinear elliptic equations under natural structure conditions.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/1992-JPDE-5748
Journal of Partial Differential Equations, Vol. 5 (1992), Iss. 4 : pp. 1–12
Published online: 1992-01
AMS Subject Headings:
Copyright: COPYRIGHT: © Global Science Press
Pages: 12
Keywords: Hölder estimate for the gradient