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Consider the nonlinear heat equation(Formula presented.)in the unit ball of (Formula presented.), with Dirichlet boundary condition. Let (Formula presented.) be a radially symmetric, sign-changing stationary solution having a fixed number (Formula presented.) of nodal regions. We prove that the solution of (NLH) with initial value (Formula presented.) blows up in finite time if {pipe}λ -1{pipe} > 0 is sufficiently small and if p is sufficiently large. The proof is based on the analysis of the asymptotic behavior of (Formula presented.) and of the linearized operator (Formula presented.). © 2014 Springer Basel

Sign-changing stationary solutions and blowup for a nonlinear heat equation in dimension two