Pavol Quittner Philippe Souplet Blow-up, Global Existence and Steady States Second
Edition Page 1 Birkhäuser Advanced Texts Basler Lehrbücher Pavol Quittner Philippe …

We consider the following k-coupled nonlinear Schrödinger systems:{− Δ u j+ λ juj= μ juj
3+∑ i= 1, i≠ jk β i, jui 2 uj in RN, uj> 0 in RN, uj (x)→ 0 as| x|→+∞, j= 1, 2,⋯, k, where N≤ 3 …

In this paper we study the ground state solutions for a nonlinear elliptic system of three
equations which comes from models in Bose-Einstein condensates. Comparing with existing …

In this paper, we consider the multi-species nonlinear Schrödinger systems in RN:{− Δ u j+ V
j (x) uj= μ juj 3+∑ i= 1; i≠ jd β i, jui 2 uj in RN, uj (x)> 0 in RN, uj (x)→ 0 as| x|→+∞, j= 1, 2,⋯ …

In this paper, we give sufficient conditions ensuring that any positive classical solution (u,v)
of an elliptic system in the whole space R^n has the symmetry property u=v. As an …

We study multi-component elliptic Schrödinger systems arising in nonlinear optics and Bose-
Einstein condensation phenomena. We prove new Liouville-type nonexistence theorems, as …

The paper is concerned with the asymptotic behavior of positive least energy vector
solutions to nonlinear Schrödinger systems with mixed couplings which arise from models in …

We study the effects of mixed couplings for nonlinear Schrödinger systems. We show due to
the mixed couplings there exist multiple vector positive solutions which exhibit interesting …

We give applications of known and new Liouville type theorems to universal singularity and
decay estimates for non scale invariant elliptic problems, including Lane-Emden and Schr\" …

We consider the following coupled elliptic system:(SN){− Δ u= μ 1 u N+ 2 N− 2+ β u 2 N− 2 v
NN− 2 in RN,− Δ v= μ 2 v N+ 2 N− 2+ β v 2 N− 2 u NN− 2 in RN, u, v> 0, u, v∈ D 1, 2 (RN) …