On Asymptotic Behavior of Solutions of the Dirichlet Problem in Half-space for Linear and Quasi-linear Elliptic Equations

@inproceedings{Denisov2003OnAB,
  title={On Asymptotic Behavior of Solutions of the Dirichlet Problem in Half-space for Linear and Quasi-linear Elliptic Equations},
  author={V. E. Denisov and Michael Eric Taylor},
  year={2003}
}
We study the Dirichlet problem in half-space for the equation ∆u+ g(u)|∇u|2 = 0, where g is continuous or has a power singularity (in the latter case positive solutions are considered). The results presented give necessary and sufficient conditions for the existence of (pointwise or uniform) limit of the solution as y → ∞, where y denotes the spatial… CONTINUE READING