Viscosity solutions of fully nonlinear second-order elliptic partial differential equations

H. Ishii*, P. L. Lions

*この研究の対応する著者

研究成果: Article査読

337 被引用数 (Scopus)

抄録

We investigate comparison and existence results for viscosity solutions of fully nonlinear, second-order, elliptic, possibly degenerate equations. These results complement those recently obtained by R. Jensen and H. Ishii. We consider various boundary conditions like for instance Dirichlet and Neumann conditions. We also apply these methods and results to quasilinear Monge-Ampère equations. Finally, we also address regularity questions.

本文言語English
ページ(範囲)26-78
ページ数53
ジャーナルJournal of Differential Equations
83
1
DOI
出版ステータスPublished - 1990
外部発表はい

ASJC Scopus subject areas

  • 分析

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