A survey on the existence, uniqueness and regularity questions to fully nonlinear elliptic partial differential equations (Q2806485)
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scientific article; zbMATH DE number 6581682
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A survey on the existence, uniqueness and regularity questions to fully nonlinear elliptic partial differential equations |
scientific article; zbMATH DE number 6581682 |
Statements
A survey on the existence, uniqueness and regularity questions to fully nonlinear elliptic partial differential equations (English)
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18 May 2016
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fully nonlinear elliptic equation
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Bellman-Isaacs equation
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viscosity solutions
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Perron's comparison principle
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Pucci extremal operator
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singular elliptic equations
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Monge-Ampère equation
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eigenvalue problems
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0.9211785
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0.91400504
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0.9104239
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0.90985805
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0.9080392
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This interesting and readable survey provides the most recent developments on the existence, uniqueness and regularity results to fully nonlinear elliptic equations in a smooth bounded domain. The Bellman-Isaacs equation , Monge-Ampére equation, singular elliptic equations and eigenvalue problems are considered. Powerful tools such as viscosity solutions, Perron's comparison principle and Pucci extremal operator are introduced.
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