Local Regularity of Weak Solutions to Quasilinear Elliptic Systems with One-Sided Condition on Quadratic Nonlinearity in the Gradient

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作者
Arkhipova A.A. [1 ]
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[1] St. Petersburg State University, 28, Universitetskii pr., Petrodvorets, St. Petersburg
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10.1007/s10958-021-05380-9
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We consider a quasilinear elliptic system of equations with nondiagonal principal matrix and additional terms admitting quadratic nonlinearity in the gradient of the solution. Under a one-sided condition on the strongly nonlinear term, we study the local smoothness of the (possibly, unbounded) solution. © 2021, Springer Science+Business Media, LLC, part of Springer Nature.
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页码:388 / 408
页数:20
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