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math.AP2014
On the existence threshold for positive solutions of p-laplacian equations with a concave-convex nonlinearity
Fernando Charro, Enea Parini
We study the following boundary value problem with a concave-convex nonlinearity: \begin{equation*} \left\{ \begin{array}{r c l l} -Δ_p u & = & Λ\,u^{q-1}+ u^{r-1} & \textrm{in }Ω,…
math.AP2014★ 22 cited
On a fractional Monge-Ampère operator
Luis Caffarelli, Fernando Charro
In this paper we consider a fractional analogue of the Monge-Ampère operator. Our operator is a concave envelope of fractional linear operators of the form $ \inf_{A\in \mathcal{A}…