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On the weak continuity of Elliptic Operators and applications to Potential Theory

Trudinger, Neil; Wang, Xu-Jia


In this paper, we establish weak continuity results for quasilinear elliptic and subelliptic operators of divergence form, acting on corresponding classes of subharmonic functions. These results are analogous to our earlier results for fully nonlinear k-Hessian operators. From the weak continuity, we derive various potential theoretic results including capacity estimates, potential estimates and the Wiener criterion for regular boundary points. Our methods make substantial use of Harnack...[Show more]

CollectionsANU Research Publications
Date published: 2002
Type: Journal article
Source: American Journal of Mathematics


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