摘要
主要是利用分歧理论,证明了在二维空间里,某一类Dirichlet共振问题在取第一特征值时,具有无穷多个解。解曲线与特征线λ=λ1无穷次相交。
The existence of infinitely many solutions at the first eigenvalue for a class of Dirichlet problems at a resonance is proved in two dimension by bifurcation theory. And the curve of solution intersects the eigenvalue line λ=λ1 infinitely many times.
出处
《东莞理工学院学报》
2006年第3期1-4,共4页
Journal of Dongguan University of Technology
基金
Supported by the National Science Foundation of China(NO.10071080,10101024).
关键词
共振问题
分歧解
全局解曲线
problem at a resonance
bifurcation of solutions
the global solution curve
