Jn. Zhao et Pd. Lei, On the Cauchy problem of evolution p-Laplacian equations with strongly non-linear sources when 1 < p < 2, ACTA MATH S, 17(3), 2001, pp. 455-470
We study the solvability of the Cauchy problem (1.1)-(1.2) for the largest
possible class of initial values, for which (1.1)-(1.2) has a local solutio
n. Moreover, we also study the critical case related to the initial value u
(0), for 1 < p < infinity.