POSITIVE UNSTABLE PERIODIC-SOLUTIONS FOR SUPERLINEAR PARABOLIC EQUATIONS

In this paper, we are concerned with a superlinear parabolic equation [GRAPHICS] where Omega subset of R(N) is a bounded domain with smooth boundary partial derivative Omega, h is T-periodic with respect to the first variable, and 1 < p < N+2/N-2 if N greater than or equal to 3 a nd 1 < p < +infinity if N less than or equal to 2. Tt is shown that th ere exist a stable and an unstable positive T-periodic solution for th is problem if h is sufficiently small in L(infinity).