Linear and nonlinear abstract elliptic equations with VMO coefficients and applications

被引：0

作者：

Veli B Shakhmurov

机构：

[1] Okan University,Department of Mechanical Engineering

来源：

Fixed Point Theory and Applications | / 2013卷

关键词：

differential equations with ; coefficients; boundary value problems; differential-operator equations; maximal ; regularity; abstract function spaces; nonlinear elliptic equations;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

In this paper, maximal regularity properties for linear and nonlinear elliptic differential-operator equations with VMO (vanishing mean oscillation) coefficients are studied. For linear case, the uniform separability properties for parameter dependent boundary value problems is obtained in Lp spaces. Then the existence and uniqueness of a strong solution of the boundary value problem for a nonlinear equation is established. In application, the maximal regularity properties of the anisotropic elliptic equation and the system of equations with VMO coefficients are derived.

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