We consider nonlinear elliptic systems satisfying componentwise coercivity condition. The nonlinear terms have controlled growths with respect to the solution and its gradient, while the behaviour in the independent variable x is governed by functions in Morrey spaces. We obtain maximum principle for such kind of systems.
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Politecn Milan, Dipartimento Matemat, Via Bonardi 9, I-20133 Milan, ItalyPolitecn Milan, Dipartimento Matemat, Via Bonardi 9, I-20133 Milan, Italy
Biagi, Stefano
Lanconelli, Ermanno
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Univ Alma Mater Studiorum, Dipartimento Matemat, Piazza Porta San Donato 5, I-40126 Bologna, ItalyPolitecn Milan, Dipartimento Matemat, Via Bonardi 9, I-20133 Milan, Italy
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Univ Montpellier 2, Inst Math & Modelisat Montpellier, CC 051, F-34095 Montpellier 5, FranceUniv Montpellier 2, Inst Math & Modelisat Montpellier, CC 051, F-34095 Montpellier 5, France
Droniou, Jerome
Le Potier, Christophe
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CEA Saclay, DEN, DM2S, SFME, F-91191 Gif Sur Yvette, FranceUniv Montpellier 2, Inst Math & Modelisat Montpellier, CC 051, F-34095 Montpellier 5, France
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Pontificia Univ Catolica Rio de Janeiro, Dept Matemat, Rua Marques de Sao Vicente 225, BR-22451900 Rio de Janeiro, BrazilPontificia Univ Catolica Rio de Janeiro, Dept Matemat, Rua Marques de Sao Vicente 225, BR-22451900 Rio de Janeiro, Brazil
Sirakov, Boyan
Souplet, Philippe
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Univ Sorbonne Paris Nord, CNRS UMR 7539, Lab Anal Geometrie & Applicat, F-93430 Villetaneuse, FrancePontificia Univ Catolica Rio de Janeiro, Dept Matemat, Rua Marques de Sao Vicente 225, BR-22451900 Rio de Janeiro, Brazil