Stochastic homogenization of fully nonlinear uniformly elliptic equations revisited
We give a simplified presentation of the obstacle problem approach to stochastic homogenization for elliptic equations in nondivergence form. Our argument also applies to equations which depend on the gradient of the unknown function. In the latter case, we overcome difficulties caused by a lack of...
Main Authors: | Armstrong, Scott N, Smart, Charles |
---|---|
Other Authors: | Massachusetts Institute of Technology. Department of Mathematics |
Format: | Article |
Language: | English |
Published: |
Springer-Verlag
2016
|
Online Access: | http://hdl.handle.net/1721.1/104851 |
Similar Items
-
Quantitative Stochastic Homogenization of Elliptic Equations in Nondivergence Form
by: Armstrong, Scott N., et al.
Published: (2016) -
Regularity for solutions of fully nonlinear elliptic equations with nonhomogeneous degeneracy
by: De Filippis, C
Published: (2020) -
Harnack Inequalities and Bôcher-Type Theorems for Conformally Invariant, Fully Nonlinear Degenerate Elliptic Equations
by: Nguyen, L, et al.
Published: (2014) -
Stochastic Homogenization of Monotone Systems of Viscous Hamilton--Jacobi Equations with Convex Nonlinearities
by: Fehrman, B
Published: (2013) -
Towards a Liouville theorem for continuous viscosity solutions to fully nonlinear elliptic equations in conformal geometry
by: Li, Y, et al.
Published: (2020)