Tian, Qiaoyu; Huang, Shuibo Existences and boundary behavior of boundary blow-up solutions to quasilinear elliptic systems with singular weights. (English) Zbl 1175.35041 J. Nonlinear Sci. Appl. 2, No. 2, 97-104 (2009). Summary: Using the method of explosive sub and supper solution, the existence and boundary behavior of positive boundary blow up solutions for some quasilinear elliptic systems with singular weight function are obtained under more extensive conditions. MSC: 35J46 First-order elliptic systems 35J60 Nonlinear elliptic equations 35J67 Boundary values of solutions to elliptic equations and elliptic systems 35B25 Singular perturbations in context of PDEs 35B50 Maximum principles in context of PDEs 35J50 Variational methods for elliptic systems Keywords:quasilinear elliptic systems; boundary blow up; explosive sub- and super-solution PDFBibTeX XMLCite \textit{Q. Tian} and \textit{S. Huang}, J. Nonlinear Sci. Appl. 2, No. 2, 97--104 (2009; Zbl 1175.35041) Full Text: DOI EuDML EMIS