Solvability of uniformly elliptic fully nonlinear PDE (Q849242)
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scientific article; zbMATH DE number 5675034
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Solvability of uniformly elliptic fully nonlinear PDE |
scientific article; zbMATH DE number 5675034 |
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Solvability of uniformly elliptic fully nonlinear PDE (English)
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25 February 2010
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The author studies uniqueness and non-uniqueness of viscosity solutions of uniformly elliptic fully nonlinear equations of the Hamilton-Jacobi-Bellman-Isaacs type \[ F(D^2u,Du,u,x)=f(x)\;\text{ in } \Omega, \quad u=\psi(x)\;\text{ on } \partial\Omega. \] with unbounded ingredients and quadratic growth in the gradient without hypotheses of convexity or properness. Some of the presented results are new even for equations in divergence form.
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elliptic fully nonlinear equations
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viscosity solutions
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Dirichlet problem
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0.93814313
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0.93319917
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0.9312457
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0.9287372
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0.92798245
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0.92354757
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