G. Evéquoz

activity

20132017

most citedDual variational methods and nonvanishing for the nonlinear Helmholtz equation

65 citations · 104 across the 2 of their papers we have counts for

collaborators

Showing 2016 · math.APShow all

3 papers · 2 filters

math.AP2016

Multiple standing waves for the nonlinear Helmholtz equation concentrating in the high frequency limit

Gilles Evéquoz

This paper studies for large frequency number $k > 0$ the existence and multiplicity of solutions of the semilinear problem $$ -Δu -k^2 u=Q(x)|u|^{p-2}u\quad\text{ in }\mathbb{R}^N,…

math.AP2016

Existence and asymptotic behavior of standing waves of the nonlinear Helmholtz equation in the plane

Gilles Evéquoz

In this paper we study the semilinear elliptic problem $- Δ u - k^{2} u = Q ∣ u ∣^{p - 2} u in R^{2},$ where $k > 0$ , $p \geq 6$ and $Q$ is a bounded function. We prove the e…

math.AP2016

Branch continuation inside the essential spectrum for the nonlinear Schrödinger equation

Gilles Evéquoz, Tobias Weth

We consider the nonlinear stationary Schrödinger equation \begin{equation*} -Δu -λu= Q(x)|u|^{p-2}u, \qquad \text{in }\mathbb{R}^N \end{equation*} in the case where $N \geq 3$ , $p$ …