A new form for the differential of the constraint functional in strictly convex reflexive Banach spaces

作者：Zhong, Yansheng^*; Li, Yongqing

来源：Journal of Mathematical Analysis and Applications, 2017, 455(2): 1783-1800.

DOI：10.1016/j.jmaa.2017.06.080

• Constraint functional
• Palais-Smale condition
• Banach space

In this paper, we establish a new framework to deal with the eigenvalue problems. As an application, we show that there exist positive and negative solutions to the semilinear elliptic eigenvalue problem with supercritical exponent. This is a generalization of previous results on the subcritical and critical exponents.

• 出版日期2017-11-15
• 单位福建师范大学