ABSTRACT
In this paper, we study the evolution p, q-Laplacian equations and
with 1<p, q<2, subject to homogeneous Dirichlet boundary conditions. If
, there exist suitable initial data such that vanishing solutions exist. If
, we find the explicit scopes of initial data such that the solutions could not vanish, which complete the corresponding classifications of solutions in Math. Methods Appl. Sci. 39 (2016) 1325–1335 and Appl. Math. Comp. 259 (2015) 587–595, respectively. For the critical case
, the solutions vanish in finite time with small initial data.
Disclosure statement
No potential conflict of interest was reported by the author(s).