| 一类半线性双调和方程的分歧问题 |
| |
| 引用本文： | 赵昆,陈祖墀.一类半线性双调和方程的分歧问题[J].中国科学技术大学学报,2004,34(3):283-294. |
| |
| 作者姓名： | 赵昆 陈祖墀 |
| |
| 作者单位： | 中国科学技术大学数学系,安徽合肥,230026 |
| |
| 基金项目： | TheprojectsupportedbyNNSFC (No .10 0 710 80andNo .10 10 10 2 4 ) |
| |
| 摘 要： | 利用算子理论、拓扑度理论及Rabinowitz大范围分歧定理等研究工具 ,对一类半线性双调和方程齐次边值问题的整体分歧现象进行了研究 ,进而研究了无穷分歧现象 .
|
| 关 键 词： | 整体分歧 半线性双调和方程 Leray-Schauder度 |
On Bifurcation Problem for a Semilinear Biharmonic Equation |
| |
| Abstract.On Bifurcation Problem for a Semilinear Biharmonic Equation[J].Journal of University of Science and Technology of China,2004,34(3):283-294. |
| |
| Authors: | Abstract |
| |
| Abstract: | Global bifurcation phenomena from the eigenvalues of some semilinear biharmonic equations in an open bounded domain containing the origin with homogeneous Dirichlet boundary condition is studied. Also the phenomena of bifurcation from infinity are studied. The main tools are the operator theory, theory of topological degree and the Rabinowitz' s global bifurcation theory. |
| |
| Keywords: | global bifurcation semilinear biharmonic equations Leray-Schauder degree |
| 本文献已被 CNKI 维普 万方数据 等数据库收录！ |
