期刊论文

中文

华中师范大学学报(自然科学版)

1000-1190

1998

32

4

389-393

10.19603/j.cnki.1000-1190.1998.04.002

国家自然科学基金

本校为第一机构

给出了下列边值问题:〖JB({〗△~2u＝g(x,u), x∈Ωu｜_(Ω)＝〖SX(〗u〖〗n〖SX)〗｜_(Ω)＝0〖JB)〗, 的上下解定理, 其中ΩR~N是有界光滑区域, g(x,u)关于u连续, 关于x可测; 并讨论了临界非齐次双调和和方程解的存在性.

This paper gives the barrier theorem of the following biharmonic problem :Δ 2u=g(x,u), x∈Ω, u|  Ω =0,  u n  Ω =0,where Ω is a bounded no empty smooth domain in R N; g(x,u) is continuous with respect to u, and measurable with respect to x; and n is the outward unit normal to  Ω. Furthermore, this paper discusses the existence of the solution for a critical inhom...