73 citations · 413 across the 37 of their papers we have counts for
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math.AP2013★ 73 cited
On existence and phase separation of solitary waves for nonlinear Schrödinger systems modelling simultaneous cooperation and competition
Nicola Soave
We study the existence of positive bound states for the nonlinear elliptic system \[ \begin{cases} - Δu_i + λ_i u_i = \sum_{j=1}^d β_{ij} u_j^2 u_i & \text{in } \\ u_1 =\cdots =…
math.AP2013★ 11 cited
Entire solutions with exponential growth for an elliptic system modeling phase-separation
Nicola Soave, Alessandro Zilio
We prove the existence of entire solutions with exponential growth for the semilinear elliptic system [\begin{cases} -Δu = -u v^2 & \text{in } -Δv= -u^2 v & \text{in }…
math.AP2013★ 17 cited
Monotonicity and 1-dimensional symmetry for solutions of an elliptic system arising in Bose-Einstein condensation
Alberto Farina, Nicola Soave
We study monotonicity and 1-dimensional symmetry for positive solutions with algebraic growth of the following elliptic system: \[ \begin{cases} -Δu = -u v^2 & \text{in }\\ -…