New Advances of  Maximum Principles for a Class of Nonlinear Elliptic Equations

张海亮; 张武

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New Advances of Maximum Principles for a Class of Nonlinear Elliptic Equations

更新时间：2026-09-14

- New Advances of Maximum Principles for a Class of Nonlinear Elliptic Equations
- 一类非线性椭圆型方程极值原理的新进展
- Issue 5, Pages: 330-331(2003)
- 作者机构：
  
  1. ,山西,太原,030051
  2. 山西大学数学系,山西,太原,030006
  3. 上海大学计算机学院,山西,太原,030006
- 作者简介：
- 基金信息：
- DOI：
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- Published：2003
- 稿件说明：
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张海亮, 张武. New Advances of Maximum Principles for a Class of Nonlinear Elliptic Equations[J]. 2003, (5): 330-331.
DOI：

张海亮, 张武. New Advances of Maximum Principles for a Class of Nonlinear Elliptic Equations[J]. 2003, (5): 330-331. DOI：

摘要

　引入一些新的方法和技巧

应用Hopf极大值原理

得到了非分离形的非线性散度形椭圆方程解的某含梯度函数满足极大值原理的条件

较满意地解决了P.W.Schaefer20多年前提出的公开问题.

Abstract

By introducing some new methods and skills

the Hopf′s maximum principle is utilized to obtain maximum principles for functions which are defined on solutions of some nonlinear elliptic equations in divergence form. The results have solved an open problem posed by P.W. Schaefer twenty years ago.

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references

　BrezisH,BrowderF.Partialdifferentialequationsinthe20thcentury[J].AdvancesinMathematics,1998,(135):76-144.

　SchaeferPW,SperbRP.Somemaximumprinciplesfornonlinearellipticboundaryvalueproblems[J].QuarterlyofAppl.Math.,1979,(35),517-523.

　ZhangHL.Maximumprinciplesforaclassofsemilinearellipticboundaryvalueproblems[J].Bull.AustralMath.Soc.,1995,(52):169-176.

　郝江浩.二阶非线性散度型微分方程最大值原理及其特征值问题[J].山西大学学报,2001,(24):283-285.

　丁俊堂.一类非线性散度型椭圆方程的最大值原理[J].数学的实践和认识,2002,32(1):114-121.133

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Related Author

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