MULTIPLICITY OF SOLUTIONS FOR ELLIPTIC BOUNDARY VALUE PROBLEMS

作者：Ye, Yiwei; Tang, Chun-Lei^*

来源：Electronic Journal of Differential Equations, 2014, 140.

• Elliptic boundary value problems
• critical points
• Cerami sequence
• fountain theorem
• symmetric mountain pass lemma

In this article, we study the existence of infinitely many solutions for the semilinear elliptic equation -Delta u+a(x)u = f(x, u) in a bounded domain of R-N (N >= 3) with the Dirichlet boundary conditions, where the primitive of the nonlinearity f is either superquadratic at infinity or subquadratic at zero.

• 单位
  重庆师范大学; 西南大学