Louis Jeanjean

most citedMultiple normalized solutions for quasi-linear Schrödinger equations

5 citations · 5 across the 3 of their papers we have counts for

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math.AP2014

Multiple solutions for an indefinite elliptic problem with critical growth in the gradient

Louis Jeanjean, Humberto Ramos Quoirin

We consider the problem $(P)$ , $- Δ u = c (x) u + μ ∣\nabla u ∣^{2} + f (x), u \in H_{0}^{1} (Ω) \cap L^{\infty} (Ω),$ where $Ω$ is a bounded domain of $R^{N}$ , $N \geq 3$ , $μ>0, \, c…

math.AP2014★ 5 cited

Multiple normalized solutions for quasi-linear Schrödinger equations

Louis Jeanjean, Tingjian Luo, Zhi-Qiang Wang

In this paper we prove the existence of two solutions having a prescribed $L^{2}$ -norm for a quasi-linear Schrödinger equation. One of these solutions is a mountain pass solution rel…

math.AP2012

Sharp non-existence results of prescribed L^2-norm solutions for some class of Schrödinger-Poisson and quasilinear equations

Louis Jeanjean, Tingjian Luo

In this paper we study the existence of minimizers for $$ F(u) = \1/2\int_{\R^3} |\nabla u|^2 dx + 1/4\int_{\R^3}\int_{\R^3}\frac{| u(x) |^2| u(y) |^2}{| x-y |}dxdy-\frac{1}{p}\int…