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The Dirichlet Problem for the Degenerate Elliptic Monge–Ampère Equation

✍ Scribed by Jiguang Bao

Publisher
Elsevier Science
Year
1999
Tongue
English
Weight
94 KB
Volume
238
Category
Article
ISSN
0022-247X

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📜 SIMILAR VOLUMES

The Dirichlet problem for singularly per
The Dirichlet problem for singularly perturbed elliptic equations
✍ Yanyan Li; Louis Nirenberg 📂 Article 📅 1998 🏛 John Wiley and Sons 🌐 English ⚖ 567 KB

## Dedicated to the memory of Fritz John Ωε (|∇u| 2 + u 2 ). A solution of (0.2) corresponds to a positive function u ∈ H 1 0 (Ω ε ) that is a stationary point of

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✍ A.C. Lazer; P.J. McKenna 📂 Article 📅 1996 🏛 Elsevier Science 🌐 English ⚖ 241 KB

We consider different types of singular boundary value problems for the Monge᎐Ampere operator. The approach is based on existing regularity theory and á subsolution᎐supersolution method. Nonexistence and uniqueness results are also given.