Multiple solutions for noncooperative p(x)-Laplacian equations in R-N involving the critical exponent

作者：Liang, Sihua^*; Zhang, Jihui

来源：Journal of Mathematical Analysis and Applications, 2013, 403(2): 344-356.

DOI：10.1016/j.jmaa.2013.01.003

• p(x)-Laplacian
• Generalized Lebesgue-Sobolev spaces
• Limit index
• Critical growth
• Concentration-compactness principle

In this paper, we study the multiplicity of solutions for a class of noncooperative p(x)-Laplacian equations in R-N involving the critical exponent. By using the Limit Index Theory due to Li [Y.Q. Li, A limit index theory and its application, Nonlinear Anal. 25 (1995) 1371-1389] and concentration-compactness principle, we obtain a sequence of radially symmetric solutions.

• 出版日期2013-7-15
• 单位南京师范大学; 长春师范大学