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- W2002159744 abstract "Let us consider the following second order quasi-linear partial differential equation: -1/2Δvα+H(x,⊇vα)αvα=0 with a quadratic growth nonlinear term H(x,⊇vα) on ⊇vα, where α is a positive constant. Such kinds of equations on bounded regions with periodic or Neumann boundary conditions have been studied in connection with ergodic control problems, where the asymptotic behaviour of the solution vα as α tends to 0 is investigated. In the present article we specialize the equation above to the case where H(x,⊇vα)=1/2|⊇vα| 2 -V(x) but treat it on whole Euclidean space R n" @default.
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- W2002159744 date "1991-01-01" @default.
- W2002159744 modified "2023-10-05" @default.
- W2002159744 title "An ergodic control problem arising from the principal eigenfunction of an elliptic operator" @default.
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- W2002159744 doi "https://doi.org/10.2969/jmsj/04310049" @default.
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