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Linear and fully nonlinear elliptic equations with Ld -drift
Communications in Partial Differential Equations ( IF 1.9 ) Pub Date : 2020-08-17 , DOI: 10.1080/03605302.2020.1805462
Nicolai V. Krylov 1
Affiliation  

Abstract In subdomains of we consider uniformly elliptic equations with the growth of H with respect to controlled by the product of a function from Ld and The dependence of H on x is assumed to be of BMO type. Among other things we prove that there exists such that for any the equation with prescribed continuous boundary data has a solution in class Our results are new even if H is linear.

中文翻译:

具有 Ld 漂移的线性和完全非线性椭圆方程

摘要 在我们的子域中,我们考虑均匀椭圆方程,其中 H 的增长由 Ld 和 H 对 x 的函数的乘积控制。假设 H 对 x 的依赖是 BMO 类型的。除其他外,我们证明存在这样的:对于任何具有指定连续边界数据的方程都有类中的解。即使 H 是线性的,我们的结果也是新的。
更新日期:2020-08-17
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