Calderón-Zygmund estimates for elliptic equations with BMO coefficients under natural growth conditions
In this paper,the global BMO estimates of the gradient of weak solutions to a class of elliptic equation that-divA(x,▽u)=divF+B(x,u,▽u)under the natural growth condition is con-cerned.Under the conditions of the uniform ellipticity and BMO smallness,a global BMO estimate of nonlinear Calderón-Zygmund type is completed by using the method of perturbation argument and sharp maximum function.
natural growth conditionsharp maximum functionBMO coefficientCalderón-Zygmund estimate
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