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arXiv · 2606.12678

Multiplicity Results for the Nonlinear Weighted Laplacian Equation on the Sierpiński Gasket

Michał Bełdziński·Krzysztof Jelito
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Abstract

In this paper we consider the Dirichlet boundary value problem driven by the weighted Laplacian equation and considered on the Sierpiński gasket. Under suitable growth conditions imposed on the nonlinear term, we provide existence and multiplicity results employing the direct method, mountain pass theorem and some related multiplicity result.

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Michał Bełdziński, Krzysztof Jelito. 2026-06-10. Multiplicity Results for the Nonlinear Weighted Laplacian Equation on the Sierpiński Gasket. https://arxiv.org/abs/2606.12678

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