含临界非线性项的 p-双调和方程正解的存在性  

Existence Results of Positive Solution for p-Biharmonic Equations with Critical Growth

作　　者：薛亚芬[1] 

机构地区：[1]宁夏广播电视大学基础部

出　　处：《宁夏工学院学报（自然科学版）》1997年第3期4-7,共4页

摘　　要：本文在ｎ维空间中讨论了任一光滑有界区域上带有Ｎａｖｉｅｒ边界条件的非线性ｐ－双调和方程，其中非线性项具有临界增长，我们证明了正解的存在性。P-biharmonic equation involving critical growth with Navier boundary condition is considered on any bounded smooth domain in n-dimensions space in this paper. We give out the existence of positive solutin for the problem, which generalizes corresponding result of Dirichlet problem for Laplacian equation involving criticala growth into the case of fourth order equations.

关 键 词：双调和算子 正解 双调和方程 存在性 非线性项 

分 类 号：O175.29[理学—数学]