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20032013
most citedGround-State Fidelity and Bipartite Entanglement in the Bose-Hubbard Model

223 citations

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Showing 2012 · math.APShow all

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math.AP2012

Borderline estimates for fully nonlinear elliptic equations

Panagiota Daskalopoulos, Tuomo Kuusi, Giuseppe Mingione

We prove new borderline regularity results for solutions to fully nonlinear elliptic equations together with pointwise gradient potential estimates.

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).…