R^4中含Hardy位势临界参数的非线性双调和方程

Nonlinear Biharmonic Equations in R^4 with Hardy Potential and Critical Parameter

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R4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 obtain the existence of multi-solution to a Nonlinear Biharmonic Equation in R4 with Hardy potential and critical parameter in the space by using the embedding theorem and fountain theorem.