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A lipschitzian estimate at the boundary points for solutions of quasilinear equations of divergent form

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Literature Cited

  1. O. A. Ladyzhenskaya and N. N. Ural'tseva, Estimates on the Boundary of a Domain for the Hölder Norms of the Derivatives of Solutions of Quasilinear Elliptic and Parabolic Equations of General Form [in Russian], No. P-1-85, Preprint, Leningr. Otd. Mat. Inst. Akad. Nauk SSSR, Leningrad (1985).

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  2. O. A. Ladyzhenskaya and N. N. Ural'tseva, Linear and Quasilinear Elliptic Equations, Academic Press (1968).

  3. M. Giaquinta and E. Giusti, “Global C1+α-regularity for second-order quasilinear elliptic equations”, J. Reine Angew. Math., No. 351, 55–65 (1984).

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  4. O. A. Ladyzhenskaya, V. A. Solonnikov, and N. N. Ural'tseva, Linear and Quasilinear Equations of Parabolic Type, Amer. Math. Soc. (1968).

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Dedicated to A. D. Aleksandrov.

Leningrad. Translated from Sibirskii Matematicheskii Zhurnal, Vol. 28, No. 4, pp. 145–153, July–August, 1987.

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Ladyzhenskaya, O.A., Ural'tseva, N.N. A lipschitzian estimate at the boundary points for solutions of quasilinear equations of divergent form. Sib Math J 28, 632–639 (1987). https://doi.org/10.1007/BF00973853

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  • DOI: https://doi.org/10.1007/BF00973853

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