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On planar Schrodinger-Poisson systems with repulsive interactions in the mass supercritical regime
Juntao Sun, Shuai Yao, He Zhang
In this paper, we investigate solutions with prescribed -norm (i.e., prescribed mass) for the planar Schrödinger-Poisson (SP) equation% \begin{equation*} -Δu+λu+α\left( \log…
Normalized solutions for the NLS equation with potential in higher dimension: the purely Sobolev critical case
Juntao Sun, Shuai Yao, He Zhang
We study normalized solutions for the nonlinear Schrodinger (NLS) equation with potential and Sobolev critical nonlinearity. By establishing suitable assumptions on the potential,…
Three bound states with prescribed angular momentum to the cubic-quintic NLS equations in
Shuai Yao, Juntao Sun
In this paper, we investigate bound states with prescribed angular momentum and mass for the nonlinear Schrödinger equations (NLS) with the cubic-quintic nonlinearity in dimensions…
Normalized multi-bump solutions for Choquard equation involving sublinear case
He Zhang, Shuai Yao, Haibo Chen
In this paper, we study the existence of normalized multi-bump solutions for the following Choquard equation \begin{equation*} -ε^2Δu +λu=ε^{-(N-μ)}\left(\int_{\mathbb{R}^N}\frac{Q…
Standing waves with prescribed mass for biharmonic NLS with positive dispersion and Sobolev critical exponent
Juntao Sun, Shuai Yao, He Zhang
We investigate standing waves with prescribed mass for a class of biharmonic Schrodinger equations with positive Laplacian dispersion in the Sobolev critical regime. By establishin…