Higher integrability result for nonlinear elliptic systems with conormal boundary conditions
2019
Abstract We prove a boundary higher integrability result for nonlinear elliptic systems with conormal boundary conditions in locally uniform domains. To do it, we derive a boundary version of Gehring–Giaquinta–Modica Lemma and Sobolev–Poincare type inequality in locally uniform domains. Our result plays a key role for handling the coefficients when obtaining Caldero n–Zygmund type estimates with conormal boundary conditions in nonsmooth domains.
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