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EnglishWe study the existence of ground state solutions for a class of non- linear pseudo-relativistic Schr\"odinger 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 such a problem using variational methods after transforming the problem to an elliptic equation with a nonlinear Neumann boundary conditions.
http://hdl.handle.net/11697/18080| Titolo: | Ground states for pseudo-relativistic Hartree equations of critical type |
| Autori interni: | NOLASCO, MARGHERITA |
| Data di pubblicazione: | 2013 |
| Rivista: | REVISTA MATEMATICA IBEROAMERICANA |
| Abstract: | We study the existence of ground state solutions for a class of non- linear pseudo-relativistic Schr\"odinger 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 such a problem using variational methods after transforming the problem to an elliptic equation with a nonlinear Neumann boundary conditions. |
| Handle: | http://hdl.handle.net/11697/18080 |
| Appare nelle tipologie: | 1.1 Articolo in rivista |
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