一类双调和方程弱解的存在性研究

Solvability for Certain Biharmonic Equation

利用上下解方法、嵌入定理和Leray-Schauder不动点定理证明了一类双调和方程弱解的存在性定理.做为定理的应用,给出了一个实例.

An existence theorem of weak solution to a class of biharmonic equation was proved by the sub-supersolution method, the imbedding theorem and the Leray-schauder fixed point theorem. As the application of the theorem, an example was given.