7 citations · 7 across the 1 of their papers we have counts for
3 papers
math.AP2016
A non-variational system involving the critical Sobolev exponent. The radial case
Francesca Gladiali, Massimo Grossi, Christophe Troestler
In this paper we consider the non-variational system $$ \begin{cases} -Δu_i = \sum\limits_{j=1}^k a_{ij} u_j^{(N+2)/(N-2)} &\text{in }\mathbb R^N,\newline u_i>0 &\text{in }\mathbb…
math.AP2016
Multiple radial positive solutions of semilinear elliptic problems with Neumann boundary conditions
Denis Bonheure, Christopher Grumiau, Christophe Troestler
Assuming is a ball in , we analyze the positive solutions of the problem \[ \begin{cases} -Δu+u= |u|^{p-2}u, &\text{ in } B_{R},\newline \partial_νu=0,&\text…
math.AP2012★ 7 cited
Bifurcation into spectral gaps for a noncompact semilinear Schrödinger equation with nonconvex potential
Christophe Troestler
This paper shows that the nonlinear periodic eigenvalue problem $${cases} -Δu + V(x) u - f(x,u) = λu, u \in H^1(\IR^N), {cases}$$ has a nontrivial branch of solutions emanating fro…