Periodic solutions in superlinear parabolic problems
J. Huska
Abstract.
Consider the Dirichlet problem for the parabolic equation $u_t=\Delta u+m(t)g(x,u)$ in $\Omega\times(0,\infty)$ where $\Omega$ is a smoothly bounded, convex domain in $\mathbb R ^n$ and $g$ has superlinear subcritical growth in $u$. If $m$ is periodic, positive and $m,g$ satisfy some technical conditions then we prove the existence of a positive periodic solution.
Compressed Postscript 
