Global and blow-up solutions to a p-laplacian equation with nonlocal source
This paper deals with a p-Laplacian equation u(t) - div(\delu\(p-2)delu) = integral(Omega) u(q) (x, t) dx with null Dirichlet boundary conditions in a bounded domain Omega subset of R-N, where p > 2, q greater than or equal to 1. Under appropriate hypotheses, we-establish local theory of the solution and obtain that the solution either exists globally or blows up in finite time. (C) 2003 Elsevier Ltd. All rights reserved.
blow-up p-laplacian equation nonlocal source global existence