Geodesic
Weighted estimate of gradient for nonnegative weak solutions of quasilinear doubly degenerate parabolic equations
Zapiski Nauchnykh Seminarov POMI, Differential geometry, Lie groups and mechanics. Part 11, Tome 181 (1990), pp. 3-23 Cet article a éte moissonné depuis la source Math-Net.Ru

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The weighted estimate of the type $$ u^\alpha|\nabla u|\leqslant \mathrm{const},\quad \alpha>0, $$ for nonnegative weak solutions of quasilinear doubly degenerate parabolic equations is established. 
@article{ZNSL_1990_181_a0,
     author = {A. V. Ivanov and P. Z. Mkrtychian},
     title = {Weighted estimate of gradient for nonnegative weak solutions of quasilinear doubly degenerate parabolic equations},
     journal = {Zapiski Nauchnykh Seminarov POMI},
     pages = {3--23},
     year = {1990},
     volume = {181},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZNSL_1990_181_a0/}
}
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A. V. Ivanov; P. Z. Mkrtychian. Weighted estimate of gradient for nonnegative weak solutions of quasilinear doubly degenerate parabolic equations. Zapiski Nauchnykh Seminarov POMI, Differential geometry, Lie groups and mechanics. Part 11, Tome 181 (1990), pp. 3-23. http://geodesic.mathdoc.fr/item/ZNSL_1990_181_a0/