# A Class of Equations with Three Solutions

@article{Ricceri2020ACO, title={A Class of Equations with Three Solutions}, author={Biagio Ricceri}, journal={arXiv: Analysis of PDEs}, year={2020} }

Here is one of the results obtained in this paper: Let $\Omega\subset {\bf R}^n$ be a smooth bounded domain, let $q>1$, with $q \lambda_1$ and for every convex set $S\subseteq L^{\infty}(\Omega)$ dense in $L^2(\Omega)$, there exists $\alpha\in S$ such that the problem $$\cases{-\Delta u=\lambda(u^+-(u^+)^q)+\alpha(x) & in $\Omega$ \cr & \cr u=0 & on $\partial\Omega$\cr}$$ has at least three weak solutions, two of which are global minima in $H^1_0(\Omega)$ of the functional $$u\to {{1}\over {2…

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Correction: Ricceri, B. A Class of Equations with Three Solutions. Mathematics 2020, 8, 478

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The author wishes to make the following correction to this paper [...]

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