抄録
We prove several comparison and existence theorems for viscosity solutions of fully nonlinear degenerate elliptic equations. One of them extends some recent uniqueness results by Jensen. Some establish the uniqueness of solutions for second‐order Isaacs' equations and hence include the uniqueness results for Bellman equations by P.‐L. Lions. Our comparison results apply even for discontinuous solutions and so Perron's method readily yields the existence of continuous solutions.
| 本文言語 | English |
|---|---|
| ページ（範囲） | 15-45 |
| ページ数 | 31 |
| ジャーナル | Communications on Pure and Applied Mathematics |
| 巻 | 42 |
| 号 | 1 |
| DOI | |
| 出版ステータス | Published - 1989 |
| 外部発表 | はい |
ASJC Scopus subject areas
- 数学 (全般)
- 応用数学