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Critical exponents and non-extinction for a fast diffusive polytropic filtration equation with nonlinear boundary sources. (English) Zbl 1145.35332
A quasilinear parabolic equation with a nonlinear boundary condition is studied. Critical exponents for global existence of positive solutions and a sufficient condition for non-extinction are given.

##### MSC:
 35B33 Critical exponents (PDE) 35K55 Nonlinear parabolic equations 35K60 Nonlinear initial value problems for linear parabolic equations
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##### References:
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