Resolutivity of ideal boundary for nonlinear Dirichlet problems

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概要

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• 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.

• 社団法人 日本数学会の論文

著者

• Maeda Fumi-yuki

  Hiroshima Institute Of Technology

• ONO Takayori

  Fukuyama University

関連論文

• Resolutivity of ideal boundary for nonlinear Dirichlet problems

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