Symmetry results for viscosity solutions of fully nonlinear uniformly elliptic equations (Q997829)
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scientific article; zbMATH DE number 5177828
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Symmetry results for viscosity solutions of fully nonlinear uniformly elliptic equations |
scientific article; zbMATH DE number 5177828 |
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Symmetry results for viscosity solutions of fully nonlinear uniformly elliptic equations (English)
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7 August 2007
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Summary: We study uniformly elliptic fully nonlinear equations \(F(D^2u, Du, u, x)=0\), and prove results of Gidas-Ni-Nirenberg type for positive viscosity solutions of such equations. We show that symmetries of the equation and the domain are reflected by the solution, both in bounded and unbounded domains.
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