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Regularity of Solutions to Problems for Nondiagonal Quasilinear Elliptic Systems with Conditions on Interface Surfaces

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Abstract

We consider a model problem for a quasilinear elliptic system with nondiagonal principal matrix and certain conditions on a surface dividing a medium. The partial regularity of a weak solution in a neighborhood of the interface is established. Bibliography: 11 titles.

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Elhamahmy, O. Regularity of Solutions to Problems for Nondiagonal Quasilinear Elliptic Systems with Conditions on Interface Surfaces. Journal of Mathematical Sciences 112, 4094–4102 (2002). https://doi.org/10.1023/A:1020014310623

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