Some remarks on bounded and unbounded weak solutions of elliptic systems

@article{Landes1989SomeRO,
  title={Some remarks on bounded and unbounded weak solutions of elliptic systems},
  author={Ruediger Landes},
  journal={manuscripta mathematica},
  year={1989},
  volume={64},
  pages={227-234}
}
  • Ruediger Landes
  • Published 1989
  • Mathematics
  • 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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