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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.

On variational impulsive boundary value problems

100%

Galewski M.

Open Mathematics

2012

tom 10

nr 6

1969-1980

Using the variational approach, we investigate the existence of solutions and their dependence on functional parameters for classical solutions to the second order impulsive boundary value Dirichlet problems with L1 right hand side.

Topological tools for the prescribed scalar curvature problem on S n

86%

Abuzaid D., Ben Mahmoud R., Chtioui H., Rigane A.

Open Mathematics

2014

tom 12

nr 12

1829-1839

In this paper, we consider the problem of the existence of conformal metrics with prescribed scalar curvature on the standard sphere S n, n ≥ 3. We give new existence and multiplicity results based on a new Euler-Hopf formula type. Our argument also has the advantage of extending well known results due to Y. Li [16].

Ograniczanie wyników

3 Open Mathematics

1 Abuzaid D.

1 Ben Mahmoud R.

1 Chtioui H.

1 Du M.

1 Galewski M.

1 Rigane A.

1 Xu J.

1 Zhang F.

1 Zhang H.

2 2014

1 2012

Wyniki wyszukiwania

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

On variational impulsive boundary value problems

Topological tools for the prescribed scalar curvature problem on S n