Subelliptic nonlinear oblique derivative problems. (English) Zbl 0582.35022

Godin, Paul

Am. J. Math. 107, 591-615 (1985).

The author extends some known regularity results of a linear oblique derivative problem to a nonlinear problem of the form \[ F(x,u,\nabla u,\nabla^ 2u)=0\quad in\quad \Omega;\quad f(x,u,\nabla u)=0\quad in\quad \partial \Omega \] using Bony’s theory of paradifferential operators.

Reviewer: J.Schoenenberger-Deuel

MSC:

35G30	Boundary value problems for nonlinear higher-order PDEs
35B65	Smoothness and regularity of solutions to PDEs

Keywords:

regularity; oblique derivative; Bony’s theory; paradifferential operators