摘要

In this paper, we consider the existence of positive periodic solutions for a superlinear heat equation u(t) - Delta u = a(t)u(p) with 1 < p < p(s) - 1 and p(s) being the Sobolev critical exponent, subject to homogeneous Dirichlet boundary condition. We relax the technical assumption on a(t) and convex assumption on the domain Omega, which generalizes the previous results.

  • 出版日期2019