Resumen de Local gradient estimates and existence of minimal solutions of some nonlinear elliptic equations blowing up on the boundary

Rene Gerardo Letelier Albornoz, Jaime Ortega

• A local estimate of the gradient of every solution to the quasilinear PDE (E) is obtained in this work, under suitable structural conditions of the data. We show the existence of a minimal solution blowing up on the boundary with the help of this estimate.