Existence of ground states for nonlinear, pseudo-relativistic Schrödinger equations
Summary: We study existence and regularity of positive stationary solutions for a class of nonlinear pseudo-relativistic Schrödinger equations. Such equations are characterized by a nonlocal pseudo-differential operator closely related to the square-root of the Laplacian. We investigate such problems using critical point theory after transforming them to elliptic equations with nonlinear Neumann boundary conditions.
pseudo-relativistic Hartree approximation
scientific article; zbMATH DE number 5912110
scientific article