The problem of blow-up in nonlinear parabolic equations

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Blow-up for a non-local diffusion problem with Neumann boundary conditions and a reaction term (2009, neutral): “For general references on blow-up problems we refer to the surveys [5,15], the book [19] and references therein.”
Blow-up phenomena for some nonlinear parabolic problems (2008, background): “One can find an extensive list of references in [1], [2], [8], and [9].”
Blow-up for p-Laplacian parabolic equations (2003, background): “1) hasve been investigated by many researchers; see the recent survey paper [11].”
Global solutions to stochastic reaction–diffusion equations with super-linear drift and multiplicative noise (2019, background): “1) can have nontrivial global stationary solutions [3, 14, 26].”
The role of self-similarity in singularities of partial differential equations (2008, background): “If 1 < p < pc = d+2 d−2 , where d is the space dimension, then there are no other self-similar solutions to (103) [72], and blow-up is of the form (106) (see [82], [110] and [69] for a recent review).”
Singular phenomena in nonlinear elliptic problems. From blow-up boundary solutions to equations with singular nonlinearities (2006, result): “Lazer and McKenna [69] extended the results of Bieberbach and Rademacher for bounded domains in RN satisfying a uniform external sphere condition and for nonlinearities Φ(x, u,∇u) = b(x) exp(u), where b is continuous and strictly positive on Ω.”