Existence and nonexistence of global solutions of some nonlocal degenerate parabolic equations Original Research Article

This paper investigates the global existence and nonexistence of positive solutions of the nonlinear degenerate parabolic equation View the MathML source with a homogeneous Dirichlet boundary condition. It is proved that there exists no global positive solution if and only if View the MathML source, where ϕ(x) is the unique positive solution of the linear elliptic problem View the MathML source