Existence to nonlinear parabolic problems with unbounded weights

Iwona Chlebicka, Anna Zatorska-Goldstein

We consider the weighted parabolic problem of the type \begin{equation*} \begin{split} \left\{\begin{array}{ll} u_t-\mathrm{div}(ω_2(x)|\nabla u|^{p-2} \nabla u )= λω_1(x) |u|^{p-2…