Critical exponents of the non-Newtonian polytropic filtration equation with nonlinear boundary condition |
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| Institution: | 1. Department of Mathematics, Jilin University, Changchun 130012, PR China;2. Department of Mathematics, Northeast Normal University, Changchun 130024, PR China |
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| Abstract: | This work is concerned with the critical exponent of the non-Newtonian polytropic filtration equation with nonlinear boundary conditions. We obtain the critical global existence exponent and critical Fujita exponent by constructing various self-similar supersolutions and subsolutions. |
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