Superharmonic functions on Lipschitz domain
Martin Silverstein, Richard Wheeden (1971)
Studia Mathematica
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Displaying similar documents to “Boundary behaviour of positive harmonic functions on Lipschitz domains.”
Superharmonic functions on Lipschitz domain
A remark on gradients of harmonic functions.
Wen Sheng Wang (1995)
Revista Matemática Iberoamericana
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In any C domain, there is nonzero harmonic function C continuous up to the boundary such that the function and its gradient on the boundary vanish on a set of positive measure.
Boundary behavior of subharmonic functions in nontangential accessible domains
Shiying Zhao (1994)
Studia Mathematica
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The following results concerning boundary behavior of subharmonic functions in the unit ball of are generalized to nontangential accessible domains in the sense of Jerison and Kenig [7]: (i) The classical theorem of Littlewood on the radial limits. (ii) Ziomek’s theorem on the -nontangential limits. (iii) The localized version of the above two results and nontangential limits of Green potentials under a certain nontangential condition.
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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Positive Harmonic Functions on Nontangentially Accessible Domains.
Rainer Wittmann (1985)
Mathematische Zeitschrift
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Harmonic majorization and thinness
Essén, Matts
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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 existence of weighted boundary limits of harmonic functions
Yoshihiro Mizuta (1990)
Annales de l'institut Fourier
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We study the existence of tangential boundary limits for harmonic functions in a Lipschitz domain, which belong to Orlicz-Sobolev classes. The exceptional sets appearing in this discussion are evaluated by use of Bessel-type capacities as well as Hausdorff measures.