| 一类二阶退化半线性椭圆型方程边值问题的适定性及解的正则性 |
| |
| 引用本文： | 何跃. 一类二阶退化半线性椭圆型方程边值问题的适定性及解的正则性[J]. 数学年刊A辑(中文版), 2004, 0(2) |
| |
| 作者姓名： | 何跃 |
| |
| 作者单位： | 复旦大学数学研究所 上海 |
| |
| 摘 要： | 本文考虑一类二阶退化半线性椭圆型方程边值问题.由椭圆正则化方法建立能量不等式,利用紧性推理,Banach—Saks定理,弱解与强解一致性,解常微分方程,椭圆型方程正则性定理,迭代方法.极值原理和Fredholm—Riesz-Schauder理论,可得相应线性问题适定性及解的高阶正则性;再由Moser引理和Banach不动点定理可得半线性问题解的存在性.这类问题与几何中无穷小等距形变刚性问题密切相关,其高阶正则性解的存在性对几何应用尤为重要.
|
| 关 键 词： | 退化半线性椭圆型方程 适定性 正则性 先验估计 |
WELL-POSEDNESS AND REGULARITY OF BOUNDARY VAULE PROBLEMS FOR A CLASS OF SECOND ORDER DEGENERATE SEMILINEAR ELLIPTIC EQUATIONS |
| |
| HE YueInstitute of Mathematics,Fudan University,Shanghai ,China, School of Mathematics and Computer Science,Nanjing Normal University,Nanjing ,China.. WELL-POSEDNESS AND REGULARITY OF BOUNDARY VAULE PROBLEMS FOR A CLASS OF SECOND ORDER DEGENERATE SEMILINEAR ELLIPTIC EQUATIONS[J]. Chinese Annals of Mathematics, 2004, 0(2) |
| |
| Authors: | HE YueInstitute of Mathematics Fudan University Shanghai China School of Mathematics Computer Science Nanjing Normal University Nanjing China. |
| |
| Affiliation: | HE YueInstitute of Mathematics,Fudan University,Shanghai 200433,China, School of Mathematics and Computer Science,Nanjing Normal University,Nanjing 210097,China. |
| |
| Abstract: | |
| |
| Keywords: | Degenerate semilinear elliptic equation Well-posedness Regularity Priori estimate |
| 本文献已被 CNKI 等数据库收录！ |
|
