蜕化椭圆型变分不等式解的C1,α正则性
C1,α regularity of solution for degenerate ellipticity variational inequalities
陈汝栋,王向东
摘要(Abstract)：
讨论一类蜕化椭圆型变分不等式解的 C1 ,α正则性 ,并解决了 L indgvist及 Norado所没有解决的问题
关键词(KeyWords)： 蜕化椭圆型变分不等式;正则性;Coбoлев空间
基金项目(Foundation):
作者(Author): 陈汝栋,王向东
参考文献(References)：
- [1] L indqvistP.Regularity for the gradient of the solution toa nonlinear obstacle problem with degenerate ellipticity[J].NonlinearAnalTMA,1988,(2):1245-1255.
- [2] NorandoT.C1,αlocal regularity for a class of quasilinearelliptic variational inequalities[J].BollU M I SerV-C,1986,281-292.
- [3] MichaelJH,ZimerW P.Interior regularity for solutionsto obstacle problems[J].NonlinearAnalTMA,1986,(10):1427-1448.
- [4] GiaquintaG.MultipleInlegrats in theCalculus ofVariations andNonlinearEllipticSystems[M].Princeton:PrincetonUnivPress,1983.
- [5] MeyersN G.Mean osciliation over cubes andHoldercontinuity[J].ProcAMS,1964,(15):717-721