We consider nonlinear elliptic systems of equations with nondiagonal principal matrices and quadratic nonlinearities in the gradient. Under a one-sided condition on the strongly nonlinear terms, we study the local regularity of possibly unbounded weak solutions.
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Translated from Problemy Matematicheskogo Analiza 112, 2021, pp. 19-34.
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Arkhipova, A.A. Regularity Conditions for Nonlinear Elliptic Systems with Quadratic Nonlinearities in the Gradient. J Math Sci 259, 128–147 (2021). https://doi.org/10.1007/s10958-021-05606-w
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DOI: https://doi.org/10.1007/s10958-021-05606-w