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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★ 9 cited
Sobolev versus Hölder local minimizers in degenerate Kirchhoff type problems
Leonelo Iturriaga, Eugenio Massa
In this paper we study the geometry of certain functionals associated to quasilinear elliptic boundary value problems with a degenerate nonlocal term of Kirchhoff type. Due to the…