Theconvergence Rate of Solutions of Quasilinear Elliptic Equations in Slabs
Zhiren Jin, Kirk Eugene Lancaster · Communications in Partial Differential Equations · 2000
Solutions of Dirichlet problems for quasilinear elliptic equations in unbounded domains inside a slab are considered. The rate at which solutions converge to their limiting functions at infinity is established in terms of properties of the top order coefficients of the operator and the rate at which the boundary values converge to their limiting functions.Our proofs are based on constructing appropriate barrier functions which depend on the behavior of coefficients of the operator and the rate of convergence of boundary value