Self-improving properties of very weak solutions to double phase systems

Baasandorj, Sumiya; Byun, Sun-Sig; Kim, Wontae

doi:10.1090/tran/9039

Self-improving properties of very weak solutions to double phase systems
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by Sumiya Baasandorj, Sun-Sig Byun and Wontae Kim;

Trans. Amer. Math. Soc. 376 (2023), 8733-8768

DOI: https://doi.org/10.1090/tran/9039

Published electronically: September 29, 2023

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Abstract:

We prove the self-improving property of very weak solutions to non-uniformly elliptic problems of double phase type in divergence form under sharp assumptions on the nonlinearity.

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