Nontrivial solutions for elliptic resonant problems

作者：Liu Shibo^*

来源：Nonlinear Analysis-Theory Methods & Applications, 2009, 70(5): 1965-1974.

DOI：10.1016/j.na.2008.02.095

• Elliptic resonant problems
• Critical groups
• Lyapunov-Schmidt reduction
• Alexander Duality Theorem

Nontrivial solutions for elliptic resonant problems are obtained via Morse theory. To compute the critical groups at infinity of the relevant functional, we propose a new approach by combining the homotopy and reduction methods, and the Alexander Duality Theorem.

• 出版日期2009-3-1
• 单位厦门大学