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Critical exponents of the non-Newtonian polytropic filtration equation with nonlinear boundary condition. (English) Zbl 1107.35318
Summary: 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.
MSC:
35B33Critical exponents (PDE)
76A05Non-Newtonian fluids
35Q35PDEs in connection with fluid mechanics