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Counter-examples to boundary estimates for two-dimensional elliptic systems

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Abstract

We prove that the one-sided condition λ* <λ does not imply a priori estimates at the boundary for weak solutions of nonlinear diagonal systems, even for two independent variables.

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Authors and Affiliations

  1. Mathematisches Institut der Universität, Wegelerstraße 10, D-5300, Bonn 1, Bundesrepublik Deutschland

    Michael Meier

  2. Department of Mathematics, University of California, 94720, Berkeley, California, USA

    Michael Meier

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  1. Michael Meier
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Meier, M. Counter-examples to boundary estimates for two-dimensional elliptic systems. Manuscripta Math 44, 59–70 (1983). https://doi.org/10.1007/BF01166074

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  • DOI: https://doi.org/10.1007/BF01166074

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