摘要
本文考虑一类带互补边界条件的四阶半线性椭圆型变分不等式,应用临界点理论,证明了当半线性项具有超线性增长时解的存在性,并利用L^p估计得到了解的正则性.
In this paper is considered a semilinear elliptic variational inequality of fourth order with complementary boundary conditions. When the semilinear item is superlinearly increasing, the existence of the solutions is proved by applying critical point theory. The regularity is also obtaind with the aid of L^p-estimation.
出处
《应用数学》
CSCD
北大核心
1992年第1期67-73,共7页
Mathematica Applicata
关键词
高阶
障碍问题
存在性
正则性
Obstacle problem of higher order
Existence
Regularity
