Miscellaneous Applications of Certain Minimax Theorems II

@article{Ricceri2020MiscellaneousAO,
title={Miscellaneous Applications of Certain Minimax Theorems II},
author={Biagio Ricceri},
journal={Acta Mathematica Vietnamica},
year={2020},
volume={45},
pages={515-524}
}
• B. Ricceri
• Published 16 October 2015
• Mathematics
• Acta Mathematica Vietnamica
In this paper, we present new applications of our general minimax theorems. In particular, one of them concerns the multiplicity of global minima for the integral functional of the Calculus of Variations.
6 Citations
On a minimax theorem: an improvement, a new proof and an overview of its applications
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A Class of Equations with Three Solutions
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 $S\subseteq L^{\infty}(\Omega)$
A class of functionals possessing multiple global minima
We get a new multiplicity result for gradient systems. Here is a very particular corollary: Let $\Omega\subset {\bf R}^n$ ($n\geq 2$) be a smooth bounded domain and let $\Phi:{\bf R}^2\to {\bf R}$ be
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Here is one of the result obtained in this paper: Let $\Omega\subset {\bf R}^2$ be a smooth bounded domain and let $F, G : {\bf R}\to {\bf R}$ be two $C^1$ functions satisfying the following