14 citations · 14 across the 2 of their papers we have counts for
4 papers
Complex solutions and stationary scattering for the nonlinear Helmholtz equation
Huyuan Chen, Gilles Evéquoz, Tobias Weth
We study a stationary scattering problem related to the nonlinear Helmholtz equation $-Δu - k^2 u = f(x,u) \ \ \text{in $\mathbb{R}^N$,}$ where and . For a given inc…
On the periodic and asymptotically periodic nonlinear Helmholtz equation
Gilles Evéquoz
In the first part of this paper, the existence of infinitely many -standing wave solutions for the nonlinear Helmholtz equation $$ -Δu -λu=Q(x)|u|^{p-2}u\quad\text{ in }\mathb…
Positive solutions to some nonlinear fractional Schrödinger equations via a min-max procedure
Gilles Evéquoz, Mouhamed Moustapha Fall
The existence of a positive solution to the following fractional semilinear equation is proven, in a situation where a ground state solution may not exist. More precisely, we consi…
Entire solutions to nonlinear scalar field equations with indefinite linear part
Gilles Évéquoz, Tobias Weth
We consider the stationary semilinear Schrödinger equation , , where and are continuous functions converging to some limits $a_\infty…