A short note on harmonic functions and zero divisors on the Sierpinski fractal

DOI10.1007/s00013-015-0838-2zbMath1345.28013OpenAlexW2237838404MaRDI QIDQ5964802

Brigitte E. Breckner

Publication date: 1 March 2016

Published in: Archiv der Mathematik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00013-015-0838-2

zbMATH Keywords

Sierpinski gasketharmonic extension procedureharmonic function on Sierpinski gasket

Mathematics Subject Classification ID

Nonsmooth analysis (49J52) Fractals (28A80)

Related Items (4)

Nonlinear problems on the Sierpiński gasket ⋮ Existence of a weak solution for a class of nonlinear elliptic equations on the Sierpiński gasket ⋮ Monotone operators and a class of nonlinear elliptic equations on the Sierpiński gasket ⋮ A class of semilinear elliptic equations on the Sierpinski gasket

Cites Work

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• Qualitative analysis of gradient-type systems with oscillatory nonlinearities on the Sierpiński gasket
• Nonlinear elliptical equations on the Sierpiński gasket
• The Laplace operator on the Sierpinski gasket with Robin boundary conditions
• Elliptic Problems on the Sierpinski Gasket
• Harmonic Calculus on P.C.F. Self-Similar Sets
• A harmonic calculus on the Sierpinski spaces
• Variational analysis for a nonlinear elliptic problem on the Sierpiński gasket
• A characterization for elliptic problems on fractal sets

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