Non existence of bounded-energy solutions for some semilinear elliptic equations with a large parameter
Nonexistence for the Laplace equation with a dynamical boundary condition of fractional type.
Nonexistence of solutions to systems of higher-order semilinear inequalities in cone-like domains.
Nonhomogeneous elliptic equations with decaying cylindrical potential and critical exponent.
Non-simultaneous blow-up for a reaction-diffusion system with absorption and coupled boundary flux.
Note on blow-up of solutions for a porous medium equation with convection and boundary flux
De Pablo et al. [Proc. Roy. Soc. Edinburgh Sect. A 138 (2008), 513-530] considered a nonlinear boundary value problem for a porous medium equation with a convection term, and they classified exponents of nonlinearities which lead either to the global-in-time existence of solutions or to a blow-up of solutions. In their analysis they left open the case of a certain critical range of exponents. The purpose of this note is to fill this gap.