Optimal regular differential operators with variable coefficients and applications

被引：0
|
作者：
Veli 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：
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学科分类号：
摘要：
In this paper, maximal regularity properties for linear and nonlinear high-order elliptic differential-operator equations with VMO coefficients are studied. For the linear case, the uniform coercivity property of 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 high-order nonlinear equation are 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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