The note examines qualitative behavior of solutions to a monodimensional nonlinear elliptic equation with Dirichlet boundary data. This simple example explains the phenomenon of facets – flat regions of solutions, characteristic for models arising from theories of crystal growth and image prossessing.
Cite this article
Piotr B. Mucha, Regular solutions to a monodimensional model with discontinuous elliptic operator. Interfaces Free Bound. 14 (2012), no. 2, pp. 145–152DOI 10.4171/IFB/276