【摘要】 本文应用De Giorgi和O.A.Ladyzenskaya等研究方程的方法来直接讨论所谓的含超线性增长项的非线性椭回型变分不等式（1）,得到了其解的有界性,H lder连续性和W^2,s正则性,并建立了一类半线性椭圆型障碍问题的Pohozaev型恒等式,进而得到其解之不存在性的有关结果.更多还原

【Abstract】 In this paper, the boundness, Holder continuity and W^2,s-regularity of a nonlinear elliptic variational inequality with superlinearly increasing term are obtained under some assumptions, via De Giorgi’s and Ladyzenskaya’s methods which were used to deal with equations. The Pohozaev identity is also established for a semilinear elliptic obstacle problem and the nonexistence of the solution of the problem is discussed.更多还原