带Hardy项的半线性椭圆方程非球对称解的研究  

Determination of pH of Solutions at Low Temperatures with the IrO_x/Ti Electrode

作　　者：陈家越[1] 陈健[1] 方熠[1] 

机构地区：[1]福建船政交通职业学院安全技术与环境工程系,福州350007

出　　处：《理化检验（化学分册）》2013年第6期666-668,672,共4页Physical Testing and Chemical Analysis(Part B:Chemical Analysis)

基　　金：国家自然科学基金（11071094,41174005,40974009）资助项目

摘　　要：本文考虑如下带Hardy项的半线性椭圆问题非球对称解的存在性.这里Ω={x｜x∈R~n,n≥3,a〈｜x｜〈1}是E~n（n≥3）中的环,其中0≤μ〈μ=（（n-2/2）~2,f（u）为已知函数.本文在讨论球对称解的性质的基础上,利用变分方法得到了方程的极小能量解的存在性,并且利用分支理论得到了方程的非球对称解.IrOx/Ti electrode was prepared,and influences of change of temperatures to its sensitivity of response,time of response and its potential response were studied.It was found that the value of reponse of the electrode in an ethanol freezing-proof liquor at-20 ℃ was only 2.52 mV·pH-1 lower than the value obtained at 30 ℃.Based on this fact,this electrode was applied to the determination of pH values of freezing-proof liquor systems at low temperatures;and in the determination of pH values of NaCl solutions at-10 ℃,values of relative extreme difference and relative average deviation obtained were 1.8% and 0.6% respectively.

关 键 词：非球对称解 变分方法 能量极小解 分支理论 

分 类 号：O657.1[理学—分析化学]