AW 2, 2 bound for a class of elliptic equations in nondivergence form with rough coefficients

1976 ◽  
Vol 33 (1) ◽  
pp. 55-60 ◽  
Author(s):  
Giuseppe Chiti
Keyword(s):  
Elliptic Equations ◽  
Nondivergence Form ◽  
Rough Coefficients

On weighted W2,p estimates for elliptic equations with BMO coefficients in nondivergence form

2015 ◽  
Vol 26 (01) ◽  
pp. 1550001 ◽  
Author(s):  
Sun-Sig Byun ◽  
Mikyoung Lee
Keyword(s):  
Dirichlet Problem ◽  
Elliptic Equation ◽  
Elliptic Equations ◽  
Nondivergence Form ◽  
Muckenhoupt Class ◽  
The Matrix ◽  
Bmo Coefficients

We establish global weighted W2,p, 2 < p < ∞, estimates for the solution to the Dirichlet problem for an elliptic equation in nondivergence form with BMO coefficients in a C1,1 domain under the assumption that the matrix of the coefficients has a small BMO semi-norm while the associated weight belongs to a Muckenhoupt class. These conditions are weaker than those reported in the literature.

scholarly journals W2, estimates for solutions to asymptotically elliptic equations in nondivergence form

2016 ◽  
Vol 260 (11) ◽  
pp. 7965-7981 ◽  
Author(s):  
Sun-Sig Byun ◽  
Jehan Oh ◽  
Lihe Wang
Keyword(s):  
Elliptic Equations ◽  
Nondivergence Form
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