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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 in nity which was introduced by Meyers and Serrin to investigate a solution in an exterior domains. Also, we construct a modi ed barrier for more general domain than an exterior domain.
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참고문헌 (11)
참고문헌 신청
S. Cho / 2007 / Holder regularity of solutions to second-order elliptic equations in nonsmooth domains / Bound. Value Probl. :24
L.C. Evans / 2010 / Partial Differential Equations. Graduate Studies in Mathematics 19 / Am. Math. Soc
D. Gilbarg / 1956 / On isolated singularities of solutions of second order elliptic differential equations / J. Anal. Math. 4:309~340
D. Gilbarg / 1983 / Elliptic Partial Differential Equations of Second Order / Springer-Verlag
E. Hopf / 1927 / Elementare Bemerkungen ber die Lsungen partieller Differentialgleichungen zweiter Ordnung vom elliptischen Typus / Sitzungsberichte der Berliner Akademie der Wissenschaften 19:147~152
L.C. Evans / 2010 / Partial Differential Equations. Graduate Studies in Mathematics 19 / Am. Math. Soc
D. Gilbarg / 1956 / On isolated singularities of solutions of second order elliptic differential equations / J. Anal. Math. 4:309~340
D. Gilbarg / 1983 / Elliptic Partial Differential Equations of Second Order / Springer-Verlag
E. Hopf / 1927 / Elementare Bemerkungen ber die Lsungen partieller Differentialgleichungen zweiter Ordnung vom elliptischen Typus / Sitzungsberichte der Berliner Akademie der Wissenschaften 19:147~152
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