R^4中含Hardy位势临界参数的非线性双调和方程

摘要

通过建立一个新的Hilbert空间H，应用嵌入定理和喷泉定理得到了R^4中一类含Hardy位势临界参数的非线性双调和方程在该空间中无穷多个解的存在性．%Through the establishment of a new Hilbert space H, we obtained the existence of multi-solution to a nonlinear biharmonic equation in R^4 with Hardy potential and critical parameter in the space by using the embedding theorem and fountain theorem.