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math.AP2014★ 172 cited
The second eigenvalue of the fractional Laplacian
Lorenzo Brasco, Enea Parini
We consider the eigenvalue problem for the {\it fractional Laplacian} in an open bounded, possibly disconnected set , under homogeneous Dirichlet boundar…
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
Existence, unique continuation and symmetry of least energy nodal solutions to sublinear Neumann problems
Enea Parini, Tobias Weth
We consider the sublinear problem \begin {equation*} \left\{\begin{array}{r c l c} -Δu & = &|u|^{q-2}u & \textrm{in }Ω, \\ u_n & = & 0 & \textrm{on }\partialΩ,\end{array}\right. \e…