Multiple positive solutions for semi-linear elliptic systems involving sign-changing weight on manifolds with conical singularities

作者：Liu, Xiaochun^*; Zhang, Shu

来源：Journal of Pseudo-Differential Operators and Applications, 2016, 7(4): 451-471.

DOI：10.1007/s11868-016-0147-y

• Conical singularity
• Critical cone Sobolev exponent
• Nehari manifold method
• Ljusternik-Schnirelmann category

In this paper, we use the Nehari manifold method and Ljusternik-Schnirelmann category to prove the multiplicity result of positive solutions for the semi-linear elliptic systems with critical cone Sobolev exponent on manifolds with conical singularities.

• 出版日期2016-12
• 单位武汉大学