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- W2019676870 abstract "The Dirichlet problem for singularly perturbed elliptic equations of the form $varepsilon Delta u = A({mathbf {x}},u)nabla u cdot nabla u + {mathbf {B}}({mathbf {x}},u) cdot nabla u + C({mathbf {x}},u)$ in $Omega in {E^n}$ is studied. Under explicit and easily checked conditions, solutions are shown to exist for $varepsilon$ sufficiently small and to exhibit specified asymptotic behavior as $varepsilon to 0$. The results are obtained using a method based on the theory of partial differential inequalities." @default.
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- W2019676870 title "Singularly perturbed quadratically nonlinear Dirichlet problems" @default.
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