Abstract
Under appropriate conditions, we prove that for two arbitrary solutions \(s_1 \) and \(s_2 \) of the Dirichlet problem lying between lower and upper functions there exists a continuous mapping \(z \) of the interval \([0,1] \) into the solution set of the Dirichlet problem such that \(z(0)=s_1 \) and \(z(1)=s_2 \).
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Translated by V. Potapchouck
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Lepin, A.Y. The Set of Solutions of the Dirichlet Problem between Lower and Upper Functions Is Connected. Diff Equat 56, 676–678 (2020). https://doi.org/10.1134/S0012266120050134
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DOI: https://doi.org/10.1134/S0012266120050134