Ground States for a nonlinear Schrödinger system with sublinear coupling terms

2015/04/17 by Oliveira, Filipe, Tavares, Hugo · 1 citation
#Analysis of PDEs (math.AP) #FOS: Mathematics

paper · doi:10.48550/arxiv.1504.04655

Abstract

We study the existence of ground states for the coupled Schrödinger system \ -Δu_i+λ_i u_i= μ_i |u_i|^2q-2u_i+∑_{j≠ i}b_ij |u_j|^q|u_i|^q-2u_i
u_i∈ H¹(ℝⁿ), i=1,…, d,. n≥ 1, for λ_i,μ_i >0, b_ij=b_ji>0 (the so-called "symmetric attractive case") and 1

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