On the existence of three solutions for the Dirichlet problem on the Sierpiński gasket

DOI10.1016/j.na.2010.06.064zbMath1195.35121arXiv1602.06092OpenAlexW2024474513MaRDI QIDQ992833

Brigitte E. Breckner, Csaba Varga, Dušan D. Repovš

Publication date: 10 September 2010

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1602.06092

zbMATH Keywords

weak solutioncritical pointminimax theoremsSierpiński gasketweak Laplacianmountain pass theoremsDirichlet problem on the Sierpiński gasket

Mathematics Subject Classification ID

Nonsmooth analysis (49J52) Variational methods involving nonlinear operators (47J30) Boundary value problems for second-order elliptic equations (35J25) Nonlinear elliptic equations (35J60) Fractals (28A80) Variational methods for second-order elliptic equations (35J20)

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