Maximum principle for Pucci equations with sublinear growth in Du and its applications

Shigeaki Koike, Takahiro Kosugi

研究成果: Article査読

抄録

It is obtained that there exist strong solutions of Pucci extremal equations with sublinear growth in Du and measurable ingredients. It is proved that a strong maximum principle holds in a local sense in Lemma 4.1 although even the (weak) maximum principle fails. By using this existence result, it is shown that the ABP type maximum principle and the weak Harnack inequality for viscosity solutions hold true. As an application, the Hölder continuity for viscosity solutions of possibly singular, quasilinear equations is established.

本文言語English
ページ(範囲)1-15
ページ数15
ジャーナルNonlinear Analysis, Theory, Methods and Applications
160
DOI
出版ステータスPublished - 2017 9 1
外部発表はい

ASJC Scopus subject areas

  • Analysis
  • Applied Mathematics

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