I need some information to know if I can solve a nonlinear integral equation with terms
$ u_{x} $ , $ u_{x}.u_{y} $ , $ u_{xx} $ , $ u_{xy} $ $u_{yy} $ $ u_{x}^{2} $ $ u_{y} ^{2} $
By numerical methods using MATLAB
Also how I introduce in MATLAB the boundary conditions? For example for a minimal surface in 3-D thanks
A minimal surface problem is an Elliptic PDE. MATLAB's documentation has an example for how to solve this here.