6533b839fe1ef96bd12a6e4c

RESEARCH PRODUCT

Boundary accessibility and elliptic harmonic measures

Juha Heinonen

subject

Elliptic operatorNonlinear systemPartial differential equationBounded functionMathematical analysisBoundary (topology)Harmonic (mathematics)General MedicineDomain (mathematical analysis)Complement (set theory)Mathematics

description

Suppose G is a bounded domain in R n such that the complement of G satisfies a capacity dcnsity condition. It is shown that all elliptic measures in G have a support set with Moreover, the capacity density condition cannot be removed. A nonlinear version of the result is also given.

https://doi.org/10.1080/17476938808814306