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Unbounded Weak Solutions to Strongly q-Nonlinear Elliptic Systems. Local Regularity

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We consider q-nonlinear elliptic systems with polynomial growth q > 2 and establish the local regularity of (possibly) unbounded weak solutions under a one-sided constraint on strongly nonlinear terms.

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  1. St. Petersburg State University, 7/9 Universitetskaya nab., St. Petersburg, 198504, Russia

    A. A. Arkhipova

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  1. A. A. Arkhipova
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Correspondence to A. A. Arkhipova.

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Translated from Problemy Matematicheskogo Analiza 125, 2023, pp. 17-35.

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Arkhipova, A.A. Unbounded Weak Solutions to Strongly q-Nonlinear Elliptic Systems. Local Regularity. J Math Sci 276, 15–36 (2023). https://doi.org/10.1007/s10958-023-06722-5

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  • DOI: https://doi.org/10.1007/s10958-023-06722-5

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