摘要
对1<P<2的情形本文证明了变分不等式:∫_G{(?)v·A(x,u,(?)u)+vB(x,u,(?)u)}dx≥0,(?),v≥ψ-u单侧障碍问题解梯度的H(?)lder连续性.
There is a gap in case 1<p<2 to the C regularity for solutions of varia-tional inequalities with degenerate elliptieity. In this paper, based on the fundamental of the C reglarity of solutions, the Holder continuity for the gradient of solutions is proved in case 1<p<2 to a one-sided obstacle problem for variational inequalities
出处
《应用数学和力学》
CSCD
北大核心
1992年第9期811-820,共10页
Applied Mathematics and Mechanics
基金
中山大学自然科学基金资助
关键词
变分不等式
障碍问题
梯度
H连续性
variational inequality, obstacle problem, gradient, Holder continuity
