A Gamma-convergence argument for the blow-up of a non-local semilinear parabolic equation with Neumann boundary conditions

We prove here the existence of boundary blow up solutions for fully nonlinear equations in general domains, for a nonlinearity satisfying Keller- Osserman type condition.. If

Consequently, the conditions on the mass for the existence of stationary solutions or blow-up are the same, however we make the interesting observation that with the local

Essen, On the solutions of quasilinear elliptic problems with bound- ary blow-up, In: Partial differential equations of elliptic type (Cortona, 1992).. 35,

Ishige, Blow-up time and blow-up set of the solutions for semilinear heat equations with large diffusion, Adv.. Mizoguchi, Blow-up behavior for semilinear heat equations with

Stability of the blow-up profile of non-linear heat equations from the dynamical system point of

Vel´ azquez, Generic behaviour near blow-up points for a N -dimensional semilinear heat equation.. Kato, Perturbation Theory for linear operators, Springer,

Indeed, the problem we are looking to is related to the so called existence and asymptotic stability of blow-up profile in the energy space (for L 2 critical generalized KdV, see

The wave equation has no new blow-up rate at the critical case, unlike NLS where new blow-up rates appear at the critical case (with respect to the conformal invariance), see Merle