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Semilinear equations on fractal blowups

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Publication:1012164
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DOI10.1016/j.jmaa.2007.12.076zbMath1175.28006OpenAlexW1983089154MaRDI QIDQ1012164

Ian Schindler, Kyril Tintarev

Publication date: 14 April 2009

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2007.12.076


zbMATH Keywords

Dirichlet formfractalsSobolev-type inequalityconcentration compactness


Mathematics Subject Classification ID

Fractals (28A80)


Related Items (1)

Synchronization and coupling of Mandelbrot sets



Cites Work

  • On the lowest eigenvalue of the Laplacian for the intersection of two domains
  • The concentration-compactness principle in the calculus of variations. The locally compact case. I
  • The concentration-compactness principle in the calculus of variations. The locally compact case. II
  • Spectral analysis on infinite Sierpiński gaskets
  • Pure point spectrum for the Laplacian on unbounded nested fractals
  • Semilinear PDEs on self-similar fractals
  • Function spaces on fractals
  • Nonlinear elliptical equations on the Sierpiński gasket
  • A Relation Between Pointwise Convergence of Functions and Convergence of Functionals
  • Fractals in the Large
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