This paper examines the existence and nonexistence of solutions on the Cauchy problem for the evolutionary p-Laplacian equation with nonlocal source. By a priori estimates, we establish the local existence, global existence and nonexistence of solutions for that Cauchy problem. In particular, a Fujita's type critical exponent is obtained, which extends several classical results to the problem considered here.
"Local and global existence for evolutionary p-Laplacian equation with nonlocal source." Differential Integral Equations 32 (3/4) 139 - 168, March/April 2019.