A New Blow-Up Criterion to a Singular Non-Newton Polytropic Filtration Equation

In this paper, a singular non-Newton polytropic filtration equation under the initial-boundary value condition is revisited. The finite time blow-up results were discussed when initial energy E(u0) was subcritical (E(u0)<d), critical (E(u0)=d), and supercritical (E(u0)>d), with d being potential depth by using well method some differential inequalities. goal of paper to give result if independent d. Moreover, explicit upper bound obtained classical Levine’s concavity method, precise lower derived applying an interpolation inequality.