L. Chergui
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Existence and dynamics of normalized solutions to nonlinear Schrödinger equations with mixed fractional Laplacians Open
In this paper, we are concerned with the existence and dynamics of solutions to the equation with mixed fractional Laplacians $$ (-Δ)^{s_1} u +(-Δ)^{s_2} u + λu=|u|^{p-2} u $$ under the constraint $$ \int_{\R^N} |u|^2 \, dx=c>0, $$ where $…
Remarks on damped Schrödinger equation of Choquard type Open
This paper is devoted to the Schrödinger-Choquard equation with linear damping. Global existence and scattering are proved depending on the size of the damping coefficient.
NOTE ON SOME FRACTIONAL BI-INHOMOGENEOUS SCHRODINGER-CHOQUARD EQUATIONS Open
In the subcritical energy case, local well-posedness is established in the radial energy space for a class of fractional inhomogeneous Choquard equations. The best constant of a Gagliardo-Nirenberg type inequality is obtained. Moreover, a …