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Multiplicity Results for the Nonlinear Weighted Laplacian Equation on the Sierpiński Gasket
Michał Bełdziński, Krzysztof Jelito
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Source: Crossref
Published: Sep 26, 2026
DOI: 10.1007/s00025-026-02736-y
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Abstract We study a Dirichlet problem driven by a weighted Laplacian on the Sierpinski gasket. Under suitable growth assumptions on the nonlinear term, we establish existence and multiplicity results by means of direct minimization, the mountain-pass theorem, and an abstract two-critical-point result for Szulkin-type functionals.
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