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20182020
most citedHigher-order linearization and regularity in nonlinear homogenization

10 citations · 17 across the 5 of their papers we have counts for

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math.AP2019★ 10 cited

Higher-order linearization and regularity in nonlinear homogenization

Scott Armstrong, Samuel J. Ferguson, Tuomo Kuusi

We prove large-scale regularity for solutions of nonlinear elliptic equations with random coefficients, thereby obtaining a version of the statement of Hilbert's 19th pr…

math.AP2018★ 4 cited

Homogenization, linearization and large-scale regularity for nonlinear elliptic equations

Scott Armstrong, Sam Ferguson, Tuomo Kuusi

We consider nonlinear, uniformly elliptic equations with random, highly oscillating coefficients satisfying a finite range of dependence. We prove that homogenization and lineariza…