学术
摘 要:
对于具有Dirichlet边界条件的四阶P-双调和椭圆方程，建立了一个新的Pohozaev恒等式．利用该恒等式，得到了两类拟线性问题弱解不存在的充分性条件．最后，还讨论了具有Navier边界条件的P-双调和问题的Pohozaev恒等式．研究结果将对研究某些类P-双调和方程解的非存在性起到很好的作用．[著者文摘]
关 键 词:
文章出处:
《西安交通大学学报》-2007年41卷10期 -1245-1247页
栏目信息:
文献标识码:
A
文章编号:
0253-987X（2007）10-1245-03
New Pohozaev Identity and Application to Fourth Order Quasilinear Elliptic Equation
Li Yuan, An Rong, Li Kaitai （School of Sciences, Xi＇an Jiaotong University, Xi＇an 710049, China）
Abstract:
For fourth order p-biharmonic elliptic equation with Dirichlet boundary conditions, anew Pohozaev type identity is established. In view of the identity, the sufficient conditions ofnonexistence of weak solution for two classes of quasilinear probles are obtained. The Pohozaevtype identity for p-biharmonic problem with Navier boundary conditions is discussed. These results exhibit the significance for nonexistence of solution of p-biharmonic problem.[著者文摘]
Key words:
Pohozaev identiry; p-biharmonic; nonexistence
基金资助:
国家自然科学基金资助项目（50306019,10571142,10471110,10471109）.
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