Journal
REVISTA MATEMATICA IBEROAMERICANA
Volume 29, Issue 4, Pages 1421-1436Publisher
EUROPEAN MATHEMATICAL SOC
DOI: 10.4171/RMI/763
Keywords
Nonlinear Schrodinger equation; pseudo-relativistic Hartree approximation; solitary waves; ground states
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- PRIN
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We study the existence of ground state solutions for a class of nonlinear pseudo-relativistic Schrodinger 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.
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