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Norms of the composition of the maximal and projection operators. (English) Zbl 1189.35036
Summary: We develop different norm estimates for the compositions of the maximal and projection operators, applied to the solutions of a nonlinear elliptic partial differential equation. As applications, we also obtain some estimates related to the Jacobian and exponents of mappings.

##### MSC:
 35B45 A priori estimates in context of PDEs 26B10 Implicit function theorems, Jacobians, transformations with several variables 31B10 Integral representations, integral operators, integral equations methods in higher dimensions 31C45 Other generalizations (nonlinear potential theory, etc.) 46E35 Sobolev spaces and other spaces of “smooth” functions, embedding theorems, trace theorems 35J60 Nonlinear elliptic equations
##### Keywords:
differential forms; harmonic equations
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##### References:
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