73 citations · 413 across the 37 of their papers we have counts for
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math.AP2016★ 2 cited
On Coron's problem for weakly coupled elliptic systems
Angela Pistoia, Nicola Soave
We consider the following critical weakly coupled elliptic system \[ \begin{cases} -Δu_i = μ_i |u_i|^{2^*-2}u_i + \sum_{j \neq i} β_{ij} |u_j|^{\frac{2^*}{2}} |u_i|^{\frac{2^*-4}{2…
math.AP2016
A natural constraint approach to normalized solutions of nonlinear Schrödinger equations and systems
Thomas Bartsch, Nicola Soave
We prove existence of normalized solutions to \[ \begin{cases} -Δu - λ_1 u = μ_1 u^3+ βu v^2 & \text{in } -Δv- λ_2 v = μ_2 v^3 +βu^2 v & \text{in }\int_…
math.AP2016★ 66 cited
On fractional elliptic equations in Lipschitz sets and epigraphs: regularity, monotonicity and rigidity results
Serena Dipierro, Nicola Soave, Enrico Valdinoci
We consider a nonlocal equation set in an unbounded domain with the epigraph property. We prove symmetry, monotonicity and rigidity results. In particular, we deal with halfspaces,…