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On the regularity of the oblique derivative problem for quasilinear elliptic systems

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Abstract

This note continues the author's investigations of the regularity problem for quasilinear elliptic systems with nonlinear boundary conditions. Partial regularity of weak solutions of the oblique derivative problem is proved here. Bibliography: 7 titles.

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Literature Cited

  1. A. A. Arkhipova, “Partial regularity of solutions of quasilinear elliptic systems with a non-smooth condition on the conormal derivative,”Mat. Sb.,184, 87–104 (1993).

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Authors
  1. A. A. Arkhipova
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Additional information

Dedicated to V. A. Solonnikov on his sixtieth anniversary

Translated fromZapiski Nauchnykh Seminarov POMI, Vol. 213, 1994, pp. 5–13.

Translated by S. Yu. Pilyugin.

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Arkhipova, A.A. On the regularity of the oblique derivative problem for quasilinear elliptic systems. J Math Sci 84, 817–822 (1997). https://doi.org/10.1007/BF02399934

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  • DOI: https://doi.org/10.1007/BF02399934

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