Resolvents in Semi-linear Harmonic Spaces

详细信息    查看全文

• 作者：Frans van Gool
• 关键词：Nonlinear potential theory ; resolvents ; semi ; linear perturbations ; excessive functions
• 刊名：Potential Analysis
• 出版年：2000
• 出版时间：2000
• 年：2000
• 卷：12
• 期：2
• 页码：191-201
• 全文大小：85 KB
• 刊物类别：Mathematics and Statistics
• 刊物主题：Mathematics
  Potential Theory
  Probability Theory and Stochastic Processes
  Geometry
  Functional Analysis
  
• 出版者：Springer Netherlands
• ISSN：1572-929X

文摘

We will show that the semi-linear potential kernels defined in [4] have a resolvent associated with them. Furthermore, the bounded excessive functions of this resolvent correspond to the bounded hyperharmonic functions as they do in linear potential theory.