期刊文献+

A PRIORI ESTIMATE FOR MAXIMUM MODULUS OF GENERALIZED SOLUTIONS OF QUASI-LINEAR ELLIPTIC EQUATIONS 被引量:1

A PRIORI ESTIMATE FOR MAXIMUM MODULUS OF GENERALIZED SOLUTIONS OF QUASI-LINEAR ELLIPTIC EQUATIONS
下载PDF
导出
摘要 Let G he a hounded domain in E Consider the following quasi-linear elliptic equationAlthough the houndedness of generalized solutions of the equation is proved for very general structural conditions, it does not supply a priori estimate for maximum modulus of solutions. In this paper an estimate to the maximum modulus is made firstly for a special case of quasi-linear elliptic equations, i.e. the A and B satisfy the following structural conditions Let G he a hounded domain in E Consider the following quasi-linear elliptic equationAlthough the houndedness of generalized solutions of the equation is proved for very general structural conditions, it does not supply a priori estimate for maximum modulus of solutions. In this paper an estimate to the maximum modulus is made firstly for a special case of quasi-linear elliptic equations, i.e. the A and B satisfy the following structural conditions
作者 梁延 王向东
出处 《Applied Mathematics and Mechanics(English Edition)》 SCIE EI 1990年第10期941-953,共13页 应用数学和力学(英文版)
关键词 quasi-linear elliptic equations generalized solutions maximum modulus a priori estimate. quasi-linear elliptic equations, generalized solutions, maximum modulus,a priori estimate.
  • 相关文献

同被引文献4

  • 1Neil S. Trudinger.Maximum principles for linear, non-uniformly elliptic operators with measurable coefficients[J].Mathematische Zeitschrift.1977(3)
  • 2K. Uhlenbeck.Regularity for a class of non-linear elliptic systems[J].Acta Mathematica.1977(1)
  • 3James Serrin.Local behavior of solutions of quasi-linear equations[J].Acta Mathematica.1964(1)
  • 4Charles B. Morrey.Second order elliptic equations in several variables and H?lder continuity[J].Mathematische Zeitschrift.1959(1)

引证文献1

二级引证文献1

相关作者

内容加载中请稍等...

相关机构

内容加载中请稍等...

相关主题

内容加载中请稍等...

浏览历史

内容加载中请稍等...
;
使用帮助 返回顶部