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Nicola Picenni

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Preprint Oct 2026

Lower bounds and Poincar\'e inequality for the Brezis-Seeger-Van Schaftingen-Yung functionals

We consider a family of non-local and non-convex functionals depending on three real parameters $(\gamma,p,\lambda)$, which was introduced by H. Brezis, A. Seeger, J. Van Schaftingen and P. L. Yung. In the case $\gamma<-p$ we prove a lower bound for the Gamma-liminf of these functionals as $\lambda\to 0^+$ and a Poinca...

Nicola Picenni · 1 citation · ⚡1

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