Second-order elliptic partial differential equation

Author: David Gilbarg NEILS. Trudinger
Publisher:
Publish Date: 2003-04-01
Features: This revision of the 1983 second edition of "Elliptic Partial Differential Equations of Second Order" corresponds to the Russian edition published in 1989, in which we essentially updated the previous version to 1984. The additional text relates to the boundary H^1 derivative estimates of Nikolai Krylov, which provided a fundamental component of the further development of the classical theory of elliptic (and parabolic), fully nonlinear equations in higher dimensions. In our presentation, we adapt an simplification of Krylov's approach due to Luis Caffarelli.