Boundary blow-up solutions of p-Laplacian elliptic equations with lower order terms

@article{Li2012BoundaryBS,
title={Boundary blow-up solutions of p-Laplacian elliptic equations with lower order terms},
author={H. Li and P. Pang and M. Wang},
journal={Zeitschrift f{\"u}r angewandte Mathematik und Physik},
year={2012},
volume={63},
pages={295-311}
}

We study the existence, uniqueness, and asymptotic behavior of blow-up solutions for a general quasilinear elliptic equation of the type −Δpu = a(x)um−b(x)f(u) with p > 1 and 0 < m < p−1. The main technical tool is a new comparison principle that enables us to extend arguments for semilinear equations to quasilinear ones. Indeed, this paper is an attempt to generalize all available results for the semilinear case with p = 2 to the quasilinear case with p > 1.