Existence of solutions for a general quasilinear elliptic system via perturbation method
1 College of Mathematics and Computer Science, Northwest University for Nationalities, Lanzhou, 730124, P.R. China
2 College of Mathematics and Statistics, Northwest Normal University, Lanzhou, 730070, P.R. China
3 School of Mathematical Sciences, Beijing Normal University, Beijing, 100875, P.R. China
Boundary Value Problems 2013, 2013:219 doi:10.1186/1687-2770-2013-219Published: 7 November 2013
In this paper, we consider the following quasilinear elliptic system:
where , , , , , , is the critical Sobolev exponent and () is a bounded smooth domain. By using the perturbation method, we establish the existence of both positive and negative solutions for this system.
MSC: 35J60, 35B33.