170 citations · 415 across the 8 of their papers we have counts for
8 papers
Normalized solutions with positive energies for a coercive problem and application to the cubic-quintic nonlinear Schrödinger equation
Louis Jeanjean, Sheng-Sen Lu
In any dimension , for given mass and when the energy functional \begin{equation*} I(u) := \frac{1}{2} \int_{\mathbb{R}^N} |\nabla u|^2 dx - \int_{\mathbb{R…
On global minimizers for a mass constrained problem
Louis Jeanjean, Sheng-Sen Lu
In any dimension , for given mass and for the energy functional \begin{equation*} I(u):=\frac{1}{2}\int_{\mathbb{R}^N}|\nabla u|^2dx-\int_{\mathbb{R}^N}F(u)…
A mass supercritical problem revisited
Louis Jeanjean, Sheng-Sen Lu
In any dimension and for given mass , we revisit the nonlinear scalar field equation with an constraint: $$ -Δu=f(u)-μu, \quad u \in H^1(\mathbb{R}^N) \quad \te…
Nonradial normalized solutions for nonlinear scalar field equations
Louis Jeanjean, Sheng-Sen Lu
We study the following nonlinear scalar field equation Here $f\in C(\mathbb{…
Nonlinear scalar field equations with general nonlinearity
Louis Jeanjean, Sheng-Sen Lu
Consider the nonlinear scalar field equation \begin{equation} \label{a1} -Δ{u}= f(u)\quad\text{in}~\mathbb{R}^N,\qquad u\in H^1(\mathbb{R}^N), \end{equation} where and …
Variational methods for degenerate Kirchhoff equations
Sheng-Sen Lu
For a degenerate autonomous Kirchhoff equation which is set on and involves the Berestycki-Lions type nonlinearity, we cope with the cases and by us…
Multiple solutions for a Kirchhoff-type equation with general nonlinearity
Sheng-Sen Lu
This paper is devoted to the study of the following autonomous Kirchhoff-type equation whe…
An autonomous Kirchhoff-type equation with general nonlinearity in
Sheng-Sen Lu
We consider the following autonomous Kirchhoff-type equation \begin{equation*} -\left(a+b\int_{\mathbb{R}^N}|\nabla{u}|^2\right)Δu= f(u),~~~~u\in H^1(\mathbb{R}^N), \end{equation*}…