Sheng-Sen Lu

activity

20172020

collaborators

4 papers

math.AP2020

A mass supercritical problem revisited

Louis Jeanjean, Sheng-Sen Lu

In any dimension $N \geq 1$ and for given mass $m > 0$ , we revisit the nonlinear scalar field equation with an $L^{2}$ constraint: $$ -Δu=f(u)-μu, \quad u \in H^1(\mathbb{R}^N) \quad \te…

math.AP2018

Nonradial normalized solutions for nonlinear scalar field equations

Louis Jeanjean, Sheng-Sen Lu

We study the following nonlinear scalar field equation $- Δ u = f (u) - μu, u \in H^{1} (R^{N}) with ∥ u ∥_{L^{2} (R^{N})}^{2} = m .$ Here $f\in C(\mathbb{…

math.AP2018

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 $N \geq 3$ and $f$ …

math.AP2017

Variational methods for degenerate Kirchhoff equations

Sheng-Sen Lu

For a degenerate autonomous Kirchhoff equation which is set on $R^{N}$ and involves the Berestycki-Lions type nonlinearity, we cope with the cases $N = 2, 3$ and $N \geq 5$ by us…