科研之友
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摘要
In this short article, we give a positive answer to the problem proposed by Zheng et al [5], and show that the fast diffusion system @@@ u(t) - div(vertical bar del u vertical bar(p-2)del u) + integral(Omega)v(alpha)dx, @@@ v(t) = div(vertical bar del v vertical bar(q-2)del v) + integral(Omega)u(beta)dx @@@ under homogeneous Dirichlet boundary condition admits at least one non extinction solution when alpha beta < (p - 1)(q - 1) and the initial data are strictly positive.
