【摘要】 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,证明了正解的存在性,将含临界增长的拉普拉斯方程的相应结果推广到了四阶方程的情形.更多还原

【Abstract】 In this paper a p-biharmonic equation involving critical growth with Navier boundary condition is considered on any bounded smooth domain in n-dimensions space. The existence of positive solution for the problem is obtained, which generalizes the corresponding result of Dirichlet problem for Laplacian equation involving critical growth to the case of fourth order equations.更多还原