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On the regularity of solutions of boundary-value problem for quasilinear elliptic systems with quadratic nonlinearity

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Abstract

The partial regularity up to the boundary of a domain is established for a solution u ∈ H1 (Ω) ∩ L∞ (Ω) to the boundary-value problem for a second-order elliptic system with strong nonlinearity in the case of dimension n≥3. Bibliography: 12 titles.

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Authors
  1. A. A. Arkhipova
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Translated fromProblemy Matematicheskogo Analiza, No. 15, 1995, pp. 47–69.

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Arkhipova, A.A. On the regularity of solutions of boundary-value problem for quasilinear elliptic systems with quadratic nonlinearity. J Math Sci 80, 2208–2225 (1996). https://doi.org/10.1007/BF02362383

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