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- W3099548328 abstract "We consider the weighted parabolic problem of the type begin{equation*} begin{split} left{begin{array}{ll} u_t-mathrm{div}(omega_2(x)|nabla u|^{p-2} nabla u )= lambda omega_1(x) |u|^{p-2}u,& xinOmega, u(x,0)=f(x),& xinOmega, u(x,t)=0,& xinpartialOmega, t>0, end{array}right. end{split} end{equation*} for quite a general class of possibly unbounded weights $ omega_1,omega_2$ satisfying the Hardy-type inequality. We prove existence of a global weak solution in the weighted Sobolev spaces provided that $lambda$ is smaller than the optimal constant in the inequality." @default.
- W3099548328 created "2020-11-23" @default.
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- W3099548328 date "2018-09-03" @default.
- W3099548328 modified "2023-10-12" @default.
- W3099548328 title "Existence to nonlinear parabolic problems with unbounded weights" @default.
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- W3099548328 doi "https://doi.org/10.1007/s00028-018-0465-z" @default.
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