Rate of convergence for solutions to Dirichlet problems of quasilinear equations

Abstract

We obtain rates of convergence for solutions to Dirichlet problems of quasilinear elliptic (possibly degenerate) equations in slab-like domains. The rates found depend on the convergence of the boundary data and of the coefficients of the operator. These results are obtained by constructing appropriate barrier functions based on the structure of the operator and on the convergence of the boundary data.

Keywords

• Elliptic boundary value problems
• asymptotic behavior of solutions
• unbounded domains
• barriers.