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math.AP2022
Self-improving properties of very weak solutions to double phase systems
Sumiya Baasandorj, Sun-Sig Byun, Wontae Kim
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.
math.AP2022
Gradient higher integrability for degenerate parabolic double-phase systems
Wontae Kim, Juha Kinnunen, Kristian Moring
We prove local higher integrability of the gradient of a weak solution to a degenerate parabolic double-phase system. This result comes with a reverse Hölder type estimate for the…