Existence and uniqueness of global solutions are proved for the damped nonlinear Ginzburg-Landau equation with saturation on general domains using adapted maximal monotone operator theory.
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Existence of normalized solutions is shown for a fractional Choquard equation with two Choquard-type nonlinearities and potentials via variational methods on the L2-sphere.
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Damped nonlinear Ginzburg-Landau equation with saturation. Part I. Existence of solutions on general domains
Existence and uniqueness of global solutions are proved for the damped nonlinear Ginzburg-Landau equation with saturation on general domains using adapted maximal monotone operator theory.
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On the existence of normalized solutions to a class of fractional Choquard equation with potentials
Existence of normalized solutions is shown for a fractional Choquard equation with two Choquard-type nonlinearities and potentials via variational methods on the L2-sphere.