W1,p estimates in homogenization of elliptic systems with measurable coefficients
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DOI: 10.1002/mana.201600055
Abstract: We prove an optimal W1,p theorem for a weak solution of an elliptic system in divergence form with measurable coefficients in a homogenization problem. Our theorem is sharp with respect to the assumption on the… read more here.
Keywords: homogenization elliptic; estimates homogenization; measurable coefficients; elliptic systems ... See more keywords
Fundamental solutions for stationary Stokes systems with measurable coefficients
Sign Up to like & getrecommendations! Published in 2017 at "Journal of Differential Equations"
DOI: 10.1016/j.jde.2017.05.005
Abstract: Abstract We establish the existence and the pointwise bound of the fundamental solution for the stationary Stokes system with measurable coefficients in the whole space R d , d ≥ 3 , under the assumption… read more here.
Keywords: stokes systems; fundamental solutions; measurable coefficients; stationary stokes ... See more keywords