Electronic Journal of Differential Equations, Vol. 2005(2005), No. 107, pp. 1-12. Title: Existence result for a semilinear parametric problem with Grushin type operator Authors: Nguyen Minh Chuong (Vietnamese Academy of Science, Vietnam) Tran Dinh Ke (Hanoi Univ. of Education, Vietnam) Abstract: Using a varational method, we prove an existence result depending on a parameter, for a semilinear system in potential form with Grushin type operator. Submitted October 10, 2004. Published October 7, 2005. Math Subject Classifications: 34B27, 35J60, 35B05. Key Words: Semilinear parametric problem; Grushin type operator; potential function, (sub)critical exponent.