An $L_{p}$-theory of divergence and non-divergence form elliptic and parabolic equations is presented. The main coefficients are supposed to belong to the class $VMO_{x}$, which, in particular, contains all functions independent of $x$. Weak uniqueness of the martingale problem associated with such equations is obtained.
Elliptic equations with VMO a, b$\,\in L_{d}$, and c$\,\in L_{d/2}$
Selected problems on elliptic equations involving measures
Elliptic and parabolic equations with Dirichlet conditions at infinity on Riemannian manifolds
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