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Some remarks on bounded and unbounded weak solutions of elliptic systems

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Abstract

The result of Ladyzenskaya on global bounds for weak solutions of elliptic equations is carried over to certain quasilinear elliptic systems in diagonal form. A generalization of De Giorgi's example shows that there are unbounded weak solutions for systems with only “small” deviation from the diagonal form.

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  1. Department of Mathematics, University of Oklahoma, 73019, Norman, OK, USA

    Rüdiger Landes

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  1. Rüdiger Landes
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Landes, R. Some remarks on bounded and unbounded weak solutions of elliptic systems. Manuscripta Math 64, 227–234 (1989). https://doi.org/10.1007/BF01160121

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  • DOI: https://doi.org/10.1007/BF01160121

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