MULTIPLICITY OF SOLUTIONS FOR THE NONCOOPERATIVE p-LAPLACIAN OPERATOR ELLIPTIC SYSTEM WITH NONLINEAR BOUNDARY CONDITIONS

作者：Liang Sihua^*; Zhang Jihui

来源：ESAIM: Control, Optimisation and Calculus of Variations , 2012, 18(4): 930-940.

DOI：10.1051/cocv/2011189

• p-Laplacian operator
• limit index
• critical growth
• concentration-compactness principle

In this paper, we study the multiplicity of solutions for a class of noncooperative p-Laplacian operator elliptic system. Under suitable assumptions, we obtain a sequence of solutions by using the limit index theory.

• 出版日期2012-10
• 单位南京师范大学; 长春师范大学