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Transactions of the American Mathematical Society

Published by the American Mathematical Society since 1900, Transactions of the American Mathematical Society is devoted to longer research articles in all areas of pure and applied mathematics.

ISSN 1088-6850 (online) ISSN 0002-9947 (print)

The 2020 MCQ for Transactions of the American Mathematical Society is 1.48.

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Liouville theorems, partial regularity and Hölder continuity of weak solutions to quasilinear elliptic systems
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by Michael Meier PDF
Trans. Amer. Math. Soc. 284 (1984), 371-387 Request permission

Abstract:

This paper describes the connections between Liouville type theorems and interior regularity results for bounded weak solutions of quasilinear elliptic systems with quadratic growth. It is shown that equivalence does in general hold only in some restricted sense. A complete correspondence can be established in certain cases, e.g. for small solutions and for minima of quadratic variational integrals.
References
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Additional Information
  • © Copyright 1984 American Mathematical Society
  • Journal: Trans. Amer. Math. Soc. 284 (1984), 371-387
  • MSC: Primary 35B65; Secondary 35D10, 35J60
  • DOI: https://doi.org/10.1090/S0002-9947-1984-0742430-X
  • MathSciNet review: 742430