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Proceedings of the American Mathematical Society

ISSN 1088-6826(online) ISSN 0002-9939(print)

 

 

A nonvariational second order elliptic operator with singular elliptic measure


Authors: Luciano Modica, Stefano Mortola and Sandro Salsa
Journal: Proc. Amer. Math. Soc. 84 (1982), 225-230
MSC: Primary 35J25
DOI: https://doi.org/10.1090/S0002-9939-1982-0637173-0
MathSciNet review: 637173
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Abstract: We exhibit an example which proves that the elliptic measure for a second-order operator of the form $ \Sigma _{i,j = 1}^n{a_{ij}}D_{ij}^2$ with continuous coefficients can be singular with respect to the surface measure on the boundary of a smooth two-dimensional domain.


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DOI: https://doi.org/10.1090/S0002-9939-1982-0637173-0
Article copyright: © Copyright 1982 American Mathematical Society