Vanishing discount limits for fully nonlinear contact Hamilton-Jacobi equations on R^n converge locally uniformly to the maximal solution selected by a Mather-measure criterion.
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Vanishing discount limits for first-order fully nonlinear Hamilton-Jacobi equations on noncompact domains
Vanishing discount limits for fully nonlinear contact Hamilton-Jacobi equations on R^n converge locally uniformly to the maximal solution selected by a Mather-measure criterion.