- journal article metadata
European Mathematical Society Publishing House
2016-09-19 17:05:47
Revista Matemática Iberoamericana
Rev. Mat. Iberoamericana
RMI
0213-2230
2235-0616
General
10.4171/RMI
http://www.ems-ph.org/doi/10.4171/RMI
subscribers
European Mathematical Society Publishing House
Zuerich, Switzerland
© European Mathematical Society (from 2012)
29
2013
4
Ground states for pseudo-relativistic Hartree equations of critical type
Vittorio
Coti Zelati
Università degli Studi di Napoli Federico II, NAPOLI, ITALY
Margherita
Nolasco
Università degli Studi dell'Aquila, L'AQUILA, ITALY
Nonlinear Schrödinger equation, pseudo-relativistic Hartree approximation, solitary waves, ground states
We study the existence of ground state solutions for a class of nonlinear pseudo-relativistic Schrödinger equations with critical two-body interactions. Such equations are characterized by a nonlocal pseudo-differential operator closely related to the square root of the Laplacian. We investigate this problem using variational methods after transforming the problem to an elliptic equation with a nonlinear Neumann boundary conditions.
Partial differential equations
1421
1436
10.4171/RMI/763
http://www.ems-ph.org/doi/10.4171/RMI/763