The Exact Blow-Up Rate Of Large Solutions To Infinity-Laplacian Equation

Under new conditions on weight functions b(x), this paper mainly considers the exact boundary behavior of solutions to the following boundary blow-up elliptic problems Delta(infinity)u = b(x)f(u), x is an element of Omega, u vertical bar(partial derivative Omega) = +infinity for more general nonlinearities f, where Omega is a bounded domain with smooth boundary in R-N, and b is an element of C((Omega) over bar) which is positive in Omega.