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Existence of a weak solution for a class of nonlinear elliptic equations on the Sierpiński gasket

UDC 517.9 We study the existence of a weak (strong) solution of the nonlinear elliptic problem\begin{gather*} -\Delta u- \lambda ug_1 +h(u)g_2=f \quad\text{in}\quad V\setminus V_0,\\u=0 \quad\text{on}\quad V_0,\end{gather*} where $V$ is a Sierpi\'nski gasket in $\mathbb{R}^{N-1},$ $N\...

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Datum:	2022
Hauptverfasser:	Badajena, A. K., Kar, R.
Format:	Artikel
Sprache:	Englisch
Veröffentlicht:	Institute of Mathematics, NAS of Ukraine 2022
Online Zugang:	https://umj.imath.kiev.ua/index.php/umj/article/view/6248
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Назва журналу:	Ukrains’kyi Matematychnyi Zhurnal
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