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Weak Barriers in Nonlinear Potential Theory
Authors:Anders Björn
Institution:1.Department of Mathematics,Link?pings Universitet,Link?ping,Sweden
Abstract:We characterize regular boundary points for p-harmonic functions using weak barriers. We use this to obtain some consequences on boundary regularity. The results also hold for $\mathcal{A}$-harmonic functions under the usual assumptions on $\mathcal{A}$, and for Cheeger p-harmonic functions in metric spaces.
Keywords:$\mathcal{A}$-harmonic" target="_blank">gif" alt="$\mathcal{A}$" align="middle" border="0">-harmonic  Barrier  Boundary regularity  Metric space  Nonlinear            p-harmonic  Potential theory  Regular  Weak barrier
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