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A System of p-Laplacian Equations on the Sierpiński Gasket

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Abstract

In this paper, we study a system of boundary value problems involving weak p-Laplacian on the Sierpiński gasket in \(\mathbb {R}^2\). Parameters \(\lambda , \gamma , \alpha , \beta \) are real and \(1<q<p<\alpha +\beta .\) Functions \(a,b,h : \mathcal {S} \rightarrow \mathbb {R}\) are suitably chosen. For \(p>1,\) we show the existence of at least two nontrivial weak solutions to the system of equations for some \((\lambda ,\gamma ) \in \mathbb {R}^2.\)

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Correspondence to Abhilash Sahu.

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Sahu, A., Priyadarshi, A. A System of p-Laplacian Equations on the Sierpiński Gasket. Mediterr. J. Math. 18, 92 (2021). https://doi.org/10.1007/s00009-021-01716-6

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