Superharmonic functions on Lipschitz domain
Martin Silverstein, Richard Wheeden (1971)
Studia Mathematica
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Displaying similar documents to “Boundary behavior of subharmonic functions in nontangential accessible domains”
Superharmonic functions on Lipschitz domain
Boundary behaviour of positive harmonic functions on Lipschitz domains.
Carroll, Tom (2002)
Annales Academiae Scientiarum Fennicae. Mathematica
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Boundary Harnack principle for separated semihyperbolic repellers, harmonic measure applications.
Zoltan Balogh, Alexander Volberg (1996)
Revista Matemática Iberoamericana
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On the Poisson integral for Lipschitz and -domains
Björn Dahlbert (1979)
Studia Mathematica
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A note on the Rellich formula in Lipschitz domains.
Alano Ancona (1998)
Publicacions Matemàtiques
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Let L be a symmetric second order uniformly elliptic operator in divergence form acting in a bounded Lipschitz domain Ω of R and having Lipschitz coefficients in Ω. It is shown that the Rellich formula with respect to Ω and L extends to all functions in the domain D = {u ∈ H (Ω); L(u) ∈ L(Ω)} of L. This answers a question of A. Chaïra and G. Lebeau.
Boundary limits of Green's potentials along curves II. Lipschitz domains
Jang-Mei Wu (1978)
Studia Mathematica
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Boundary integral methods for harmonic differential forms in Lipschitz domains.
Mitrea, Dorina, Mitrea, Marius (1996)
Electronic Research Announcements of the American Mathematical Society [electronic only]
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Convex domains and unique continuation at the boundary.
Vilhelm Adolfsson, Luis Escauriaza, Carlos Kenig (1995)
Revista Matemática Iberoamericana
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We show that a harmonic function which vanishes continuously on an open set of the boundary of a convex domain cannot have a normal derivative which vanishes on a subset of positive surface measure. We also prove a similar result for caloric functions vanishing on the lateral boundary of a convex cylinder.
Oblique derivative problems for the laplacian in Lipschitz domains.
Jill Pipher (1987)
Revista Matemática Iberoamericana
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The aim of this paper is to extend the results of Calderón [1] and Kenig-Pipher [12] on solutions to the oblique derivative problem to the case where the data is assumed to be BMO or Hölder continuous.
Positive Harmonic Functions on Nontangentially Accessible Domains.
Rainer Wittmann (1985)
Mathematische Zeitschrift
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Comparisons of kernel functions boundary Harnack principle and relative Fatou theorem on Lipschitz domains
Jang-Mei G. Wu (1978)
Annales de l'institut Fourier
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On a Lipschitz domain in , three theorems on harmonic functions are proved. The first (boundary Harnack principle) compares two positive harmonic functions at interior points near an open subset of the boundary where both functions vanish. The second extends some familiar geometric facts about the Poisson kernel on a sphere to the Poisson kernel on . The third theorem, on non-tangential limits of quotient of two positive harmonic functions in , generalizes Doob’s relative Fatou...