Browsing EPrint Collection  Mathematics by Subject "harmonic functions"
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A boundary Harnack principle in twisted Hölder domains
(Annals of Mathematics, 199109)The boundary Harnack principle for the ratio of positive harmonic functions is shown to hold in twisted Hölder domains of order [alpha] for [alpha is an element of the set](1/2, 1]. For each [alpha is an element of the ... 
The Martin boundary in nonLipschitz domains
(American Mathematical Society, 1993)The Martin boundary with respect to the Laplacian and with respect to uniformly elliptic operators in divergence form can be identified with the Euclidean boundary in C [to the power of gamma] domains, where [gamma](x) = ... 
On minimal parabolic functions and timehomogenous parabolic htransforms
(American Mathematical Society, 19990329)Does a minimal harmonic function h remain minimal when it is viewed as a parabolic function? The question is answered for a class of long thin semiinfinite tubes D [is an element of the subset of real numbers to the power ...