Gradient estimates for semilinear elliptic equations
Gary M. Lieberman · Proceedings of the Royal Society of Edinburgh Section A Mathematics · 1985
Synopsis Estimates on the gradient of solutions to the Dirichlet problem for a semilinear elliptic equation are given when the nonlinearity in the equation is quadratic with respect to the gradient of the solution. These estimates extend results of F. Tomi to less smooth boundary data and results of the author to the full quadratic growth.