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Boundedness of the solutions to non-linear systems with Morrey data

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ABSTRACT We consider non-linear elliptic systems satisfying componentwise coercivity condition. The non-linear terms have controlled growths with respect to the solution and its gradient, while the behaviour in x is… Click to show full abstract

ABSTRACT We consider non-linear elliptic systems satisfying componentwise coercivity condition. The non-linear terms have controlled growths with respect to the solution and its gradient, while the behaviour in x is governed by functions in Morrey spaces. We firstly prove essential boundedness of the weak solution and then we obtain Morrey regularity of its gradient.

Keywords: systems morrey; boundedness solutions; morrey data; non linear; solutions non; linear systems

Journal Title: Complex Variables and Elliptic Equations
Year Published: 2017

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