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http://dx.doi.org/10.7468/jksmeb.2018.25.2.59

ON SOME PROPERTIES OF BARRIERS AT INFINITY FOR SECOND ORDER UNIFORMLY ELLIPTIC OPERATORS

Cho, Sungwon (Department of Mathematics Education, Gwangju National University of Education)

Publication Information

The Pure and Applied Mathematics / v.25, no.2, 2018 , pp. 59-71 More about this Journal

Abstract

We consider the boundary value problem with a Dirichlet condition for a second order linear uniformly elliptic operator in a non-divergence form. We study some properties of a barrier at infinity which was introduced by Meyers and Serrin to investigate a solution in an exterior domains. Also, we construct a modified barrier for more general domain than an exterior domain.

Keywords

second order linear uniformly elliptic operator; Dirichlet boundary value problems; unbounded domain; barrier at infinity;

Citations & Related Records

Reference

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