Nehari流形在一个拟线性方程组中的应用

摘要

主要研究带有非齐次边界条件的拟线性椭圆方程组的正解问题，在合适参数条件下，用变分方法和流形方法得到该椭圆方程组正解的存在性和多解性。结论推广了近期发表的结果。%In this paper, A qusilinear elliptic systems with the homogeneous boundary condition were discussed. The existence and multiple positive solutions under the proper region of parameters were obtained. The main method relies on the variational theory and Nehari manifold. Our results complement those derived in the recent works.