2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/217605Three types of blow-up for a fourth-order degenerate reaction-diffusion equation are studied by a combination of analytic and numerical methods. At the critical values of parameters, there occurs a variational problem with a countable set of solutions obtained by Lysternik--Shnirelman category theory, which then are extended to neighbouring values of parameters by a homotopy-like approach.39 pages, 28 figuresAnalysis of PDEs35K55, 35K40, 35K65Regional, single point, and global blow-up for the fourth-order porous medium type equation with sourcetext