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20122022
most citedExistence and symmetry results for a Schrödinger type problem involving the fractional Laplacian

198 citations · 200 across the 5 of their papers we have counts for

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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).…