| 变分不等式和非齐次边值问题 |
| |
| 引用本文： | 刘建中,何震.变分不等式和非齐次边值问题[J].南开大学学报,1999,32(4):87-93. |
| |
| 作者姓名： | 刘建中 何震 |
| |
| 作者单位： | 天津电力职工大学!天津，300181，河北大学数学系!保定，071002 |
| |
| 基金项目： | 河北省自然科学基金!( 1 970 6 1) |
| |
| 摘 要： | 本文在自反Banach空间中讨论了变分不等式及相应的偏微分方程非齐次边值问题解的存在性.利用非强制条件下变分不等式解的存在性理论,在Sobolev空间中具体地研究了含P-拉普拉斯算子的非线性方程非齐次边值问题解的存在问题.得到了几类非齐次边值问题解的存在条件,去掉了某些不必要的限制,使得适用的范围更为广泛.
|
| 关 键 词： | 变分不等式 非齐次边值问题 伪单调算子 衰减算子 P-拉普拉斯算子 |
VARIATIONAL INEQUALITIES AND NON-HOMOGENEOUS BOUNDARY VALUE PROBLEMS |
| |
| Liu Jianzhong,He Zhen.VARIATIONAL INEQUALITIES AND NON-HOMOGENEOUS BOUNDARY VALUE PROBLEMS[J].Acta Scientiarum Naturalium University Nankaiensis,1999,32(4):87-93. |
| |
| Authors: | Liu Jianzhong He Zhen |
| |
| Abstract: | In reflexive Banach space, the existence of solution of partial differential equation non homogeneous boundary value problems corresponding the variational inequalities is discussed. Applying the existence of solution of variational inequalities under non coercive conditions, we have concretely researched the existence of solution of nonlinear equations non homogeneous boundary value problems involving P Laplacian operator. Some existent conditions of solution of a few non homogeneous boundary value problems are obtained, removing some unnecessary restrictions. The scope of application is wide. |
| |
| Keywords: | variational inequalities non homogeneous boundary value problems pseudo monotone operators recession operators p Laplacian operator |
| 本文献已被 CNKI 维普 等数据库收录！ |
