%0 Journal Article
%T Existence and Stability of Standing Waves for the Nonlinear Schrödinger Equation with Combined Nonlinearities and a Partial Harmonic Potential
%A Wei Wang
%J Journal of Applied Mathematics and Physics
%P 1606-1615
%@ 2327-4379
%D 2024
%I Scientific Research Publishing
%R 10.4236/jamp.2024.125099
%X In this paper, we study the existence of standing waves for the nonlinear Schrödinger equation with combined power-type nonlinearities and a partial harmonic potential. In the <i>L</i><sup>2</sup>-supercritical case, we obtain the existence and stability of standing waves. Our results are complements to the results of Carles and Il’yasov’s artical, where orbital stability of standing waves have been studied for the 2D Schrödinger equation with combined nonlinearities and harmonic potential.
%K Nonlinear Schr&amp
%K #246
%K dinger Equation
%K Orbital Stability
%K Standing Waves
%U http://www.scirp.org/journal/PaperInformation.aspx?PaperID=133051