一类四阶Navier边界值问题的高能量解

High Energy Solutions for a Class of Fourth-Order Navier Boundary Value Problems

利用喷泉定理得到了一类四阶Navier边界值问题Δ2 u+cΔu=f(x,u)x∈Ωu=Δu=0 x∈{Ω无穷多个高能量解的存在性,其中ΩRN(N>4)是一个有界光滑区域.

By using the Fountain Theorem,the existence of infinitely many high energy solutions are proved for the fourth-order Navier boundary value problemΔ2u＋cΔu=f（x,u） x∈Ωu=Δu=0 x∈Ωwhere Ω RN（N4） is a bounded smooth domain.