Abstract: |
This work studies the global behavior of solutions to the quasilinear inhomogeneous parabolic equation with combined nonlinearities. Firstly, we focus on an interesting phenomenon of discontinuity of the Fujita-type critical exponents. In particular, we will fill the gap in the results of Jleli-Samet-Souplet (Proc Am Math Soc 148:2579-2593, 2020) for the critical case. We are also interested in the influence of the forcing term on the critical behavior of the considered problem, so we will define the second critical exponent in the sense of Lee-Ni, depending on the forcing term. |
|