Saddle-point solutions to Dirichlet problems on the Sierpiński gasket

DOI10.1016/J.EXMATH.2018.04.001zbMath1433.35135OpenAlexW2800404232MaRDI QIDQ2292422

Marek Galewski, Luca Vilasi

Publication date: 3 February 2020

Published in: Expositiones Mathematicae (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.exmath.2018.04.001

zbMATH Keywords

Dirichlet problemweak Laplacian on the Sierpinski gasket

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Fractals (28A80) Semilinear elliptic equations with Laplacian, bi-Laplacian or poly-Laplacian (35J91)

Cites Work

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• Qualitative analysis of gradient-type systems with oscillatory nonlinearities on the Sierpiński gasket
• Solvability for differential equations on fractals
• On a spectral analysis for the Sierpiński gasket.
• Semilinear elliptic equations on fractal sets
• On the existence of three solutions for the Dirichlet problem on the Sierpiński gasket
• Semilinear PDEs on self-similar fractals
• Existence of optimal controls via continuous dependence on parameters
• Nonlinear elliptical equations on the Sierpiński gasket
• Multiple solutions for a class of nonlinear elliptic equations on the Sierpiński gasket
• INFINITELY MANY SOLUTIONS FOR THE DIRICHLET PROBLEM ON THE SIERPINSKI GASKET
• Variational analysis for a nonlinear elliptic problem on the Sierpiński gasket
• A characterization for elliptic problems on fractal sets

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