7 citations · 13 across the 12 of their papers we have counts for
4 papers · 2 filters
Entire radial and nonradial solutions for systems with critical growth
Francesca Gladiali, Massimo Grossi, Christophe Troestler
In this paper we establish existence of radial and nonradial solutions to the system $$ \begin{array}{ll} -Δu_1 = F_1(u_1,u_2) &\text{in }\mathbb{R}^N,\newline -Δu_2 = F_2(u_1,u_2)…
Spectral analysis of a generalized buckling problem on a ball
Colette De Coster, Serge Nicaise, Christophe Troestler
In this paper, the spectrum of the following fourth order problem \begin{equation*} \begin{cases} Δ^2 u+νu=-λΔu &\text{in } D_1,\newline u=\partial_r u= 0 &\text{on } \partial D_1,…
A non-variational system involving the critical Sobolev exponent. The radial case
Francesca Gladiali, Massimo Grossi, Christophe Troestler
In this paper we consider the non-variational system $$ \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…
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…