most citedExistence and symmetry results for a Schrödinger type problem involving the fractional Laplacian

198 citations · 201 across the 3 of their papers we have counts for

collaborators

3 papers

math.AP2015★ 3 cited

Qualitative properties of positive solutions to nonlocal critical problems involving the Hardy-Leray potential

Serena Dipierro, Luigi Montoro, Ireneo Peral +1

We prove the existence, qualitative properties and asymptotic behavior of positive solutions to the doubly critical problem $$ (-Δ)^s u=\vartheta\frac{u}{|x|^{2s}}+u^{2_s^*-1}, \qu…

math.AP2012

Concentration of solutions for a singularly perturbed mixed problem in non smooth domains

Serena Dipierro

We consider a singularly perturbed problem with mixed Dirichlet and Neumann boundary conditions in a bounded domain whose boundary has an -dimensional singu…

math.AP2012★ 198 cited

Existence and symmetry results for a Schrödinger type problem involving the fractional Laplacian

Serena Dipierro, Giampiero Palatucci, Enrico Valdinoci

This paper deals with the following class of nonlocal Schrödinger equations $$ \displaystyle (-Δ)^s u + u = |u|^{p-1}u \ \ \text{in} \ \mathbb{R}^N, \quad \text{for} \ s\in (0,1).…