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math.AP2019
Nonnegative solutions for the fractional Laplacian involving a nonlinearity with zeros
Salomón Alarcón, Leonelo Iturriaga, Antonella Ritorto
We study the nonlocal nonlinear problem \begin{equation}\label{ppp} \left\{ \begin{array}[c]{lll} (-Δ)^s u = λf(u) & \mbox{in }Ω, \\ u=0&\mbox{on } \mathbb{R}^N\setminusΩ, \end{arr…
math.AP2019
A minimization problem involving a fractional Hardy-Sobolev type inequality
Antonella Ritorto
In this work, we obtain an existence of nontrivial solutions to a minimization problem involving a fractional Hardy-Sobolev type inequality in the case of inner singularity. Precis…