We are concerned with the stability of polytropic filtration equation with variable exponents, when the degeneracy occurs on the boundary. The existence and the local integrability of weak solutions are established. The stability of weak solutions independent of the boundary value condition is investigated.
"Stability of polytropic filtration equation with variable exponents." Adv. Differential Equations 25 (5/6) 255 - 278, May/June 2020.