Electronic Journal of Differential Equations, Vol. 2005(2005), No. 97, pp. 1-5. Title: A subsolution-supersolution method for quasilinear systems Authors: Dimitrios A. Kandilakis (Technical Univ. of Crete, Greece) Manolis Magiropoulos (Tech. and Educ. Institute of Crete, Greece) Abstract: Assuming that a system of quasilinear equations of gradient type admits a strict supersolution and a strict subsolution, we show that it also admits a positive solution. Submitted April 18, 2005. Published September 4, 2005. Math Subject Classifications: 35B38, 35D05, 35J50. Key Words: Quasilinear System; supersolution; subsolution.