一类半线性双调和方程的分歧问题(英文)

On Bifurcation Problem for a Semilinear Biharmonic Equation

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 .

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.