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On phase segregation in nonlocal two-particle Hartree systems

100%

Aschbacher W., Squassina M.

Open Mathematics

2009

tom 7

nr 2

230-248

We prove the phase segregation phenomenon to occur in the ground state solutions of an interacting system of two self-coupled repulsive Hartree equations for large nonlinear and nonlocal interactions. A self-consistent numerical investigation visualizes the approach to this segregated regime.

Ground states for asymptotically periodic Schrödinger-Poisson systems with critical growth

100%

Zhang H., Xu J., Zhang F., Du M.

Open Mathematics

2014

tom 12

nr 10

1484-1499

For a class of asymptotically periodic Schrödinger-Poisson systems with critical growth, the existence of ground states is established. The proof is based on the method of Nehari manifold and concentration compactness principle.

Ograniczanie wyników

2 Open Mathematics

1 Aschbacher W.

1 Du M.

1 Squassina M.

1 Xu J.

1 Zhang F.

1 Zhang H.

1 2014

1 2009

Wyniki wyszukiwania

On phase segregation in nonlocal two-particle Hartree systems

Ground states for asymptotically periodic Schrödinger-Poisson systems with critical growth