Some Singularly Perturbed Nonlinear Boundary Value Problems of Elliptic Type

Consider the singularly perturbed scalar Dirichlet problem for small positive values of ɛ (1) εΔu         =         A ( x,u ) ⋅       ∇ u       +       h ( x,u ) ,       x     in     Ω u ( x,ε )       =       ϕ ( x )     ,       x         on       Γ     =     ∂ Ω https://s3-euw1-ap-pe-df-pch-content-public-u.s3.eu-west-1.amazonaws.com/9780203745465/59a6af57-aaec-4c6e-b5c4-3edadfc8e8fa/content/eq966.tif"/>