Resolutivity of ideal boundary for nonlinear Dirichlet problems

• MAEDA Fumi-Yuki

  Hiroshima Institute of Technology

• ONO Takayori

  Fukuyama University

Abstract

We consider a quasi-linear second order elliptic differential equation on a euclidean domain. After developing necessary potential theory for the equation which extends some part of the theories in the book by Heinonen-Kilpeläinen-Martio, we show that the ideal boundary of the Royden type compactification of the domain is resolutive with respect to the Dirichlet problem for the equation.

Journal

• Journal of the Mathematical Society of Japan

  Journal of the Mathematical Society of Japan 52 (3), 561-581, 2000

  The Mathematical Society of Japan

Keywords

• Resolutivity of ideal boundary
• nonlinear Dirichlet problem

Details

• CRID: 1390282680093085056
• NII Article ID: 10004480456
• NII Book ID: AA0070177X
• DOI: 10.2969/jmsj/05230561
• ISSN: 18811167
• ISSN: 18812333
• ISSN: 00255645
• MRID: 1760605
• NDL BIB ID: 5475595
• Web Site: https://ndlsearch.ndl.go.jp/books/R000000004-I5475595
• Text Lang: en
• Data Source:
  • JaLC
  • NDL
  • Crossref
  • CiNii Articles
• Abstract License Flag: Disallowed