Under monotonicity, solutions to static contact Hamilton-Jacobi equations with periodicity ε converge uniformly at rate O(ε) to the solution of an effective homogenized equation identified via Mather measures.
A weak Bernstein method for fully nonlinear elliptic equations.Differential and Integral Equations 4, 2 (1991), 241–262
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Quantitative homogenization for static contact Hamilton-Jacobi equations
Under monotonicity, solutions to static contact Hamilton-Jacobi equations with periodicity ε converge uniformly at rate O(ε) to the solution of an effective homogenized equation identified via Mather measures.