The Laplace operator on the Sierpinski gasket with Robin boundary conditions

DOI10.1016/j.nonrwa.2017.04.004OpenAlexW2963521884MaRDI QIDQ2410671

Brigitte E. Breckner, Ralph Chill

Publication date: 18 October 2017

Published in: Nonlinear Analysis. Real World Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1507.06209

zbMATH Keywords

Laplace operatornonlinear semigroupsDirichlet formsSierpinski gasketRobin boundary condition

Mathematics Subject Classification ID

Operator theory (47-XX) Partial differential equations (35-XX)

Related Items (2)

Existence of multiple solutions of a Kirchhoff type \(p\)-Laplacian equation on the Sierpiński gasket ⋮ A short note on harmonic functions and zero divisors on the Sierpinski fractal

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• On a spectral analysis for the Sierpiński gasket.
• Statistical mechanics and fractals
• \(p\)-energy and \(p\)-harmonic functions on Sierpinski gasket type fractals
• Dirichlet and Neumann boundary conditions: what is in between?
• Derivations and Dirichlet forms on fractals
• Dirichlet forms on the Sierpiński gasket
• Harmonization and homogenization on fractals
• Invariance of a closed convex set under a semigroup associated with a nonlinear form
• Nonlinear elliptical equations on the Sierpiński gasket
• Semigroups on nonlinear contractions on convex sets
• Dirichlet and Neumann boundary conditions for the p-Laplace operator: what is in between?
• Harmonic Calculus on P.C.F. Self-Similar Sets
• A harmonic calculus on the Sierpinski spaces
• Nonlinear Markov semigroups, nonlinear Dirichlet forms and applications to minimal surfaces
• Thep-Laplacian on the Sierpinski gasket
• Measure and integration theory. Transl. from the German by Robert B. Burckel

This page was built for publication: The Laplace operator on the Sierpinski gasket with Robin boundary conditions