Multiple positive solutions for a critical quasilinear elliptic system

作者：Ding, Ling^*; Xiao, Shi-Wu

来源：Nonlinear Analysis-Theory Methods & Applications, 2010, 72(5): 2592-2607.

DOI：10.1016/j.na.2009.11.007

• p-Laplacian system
• Sobolev critical exponents
• Contractible sets
• Homotopy
• Deformation

The existence of cat(Omega)(Omega) positive solutions for the p-Laplacian system with convex and Sobolev critical nonlinearities is obtained by some standard variational methods, whose key is to construct homotopies between Omega and levels of the functional J(lambda,mu), and some analytical techniques.

• 出版日期2010-3-1
• 单位湖北文理学院