18 citations · 107 across the 28 of their papers we have counts for
5 papers · 1 filter
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 $$ \begin{array}{ll} -Δu_1 = F_1(u_1,u_2) &\text{in }\mathbb{R}^N,\newline -Δu_2 = F_2(u_1,u_2)…
Nonradial sign changing solutions to Lane Emden equation
Anna Lisa Amadori, Francesca Gladiali
In this paper we prove the existence of continua of nonradial solutions for the Lane-Emden equation. In a first result we show that there are infinitely many global continua detach…
Nodal solutions for Lane-Emden problems in almost-annular domains
Anna Lisa Amadori, Francesca Gladiali, Massimo Grossi
In this paper we prove an existence result to the problem w…
A non-variational system involving the critical Sobolev exponent. The radial case
Francesca Gladiali, Massimo Grossi, Christophe Troestler
In this paper we consider the non-variational system $$ \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…
Separation of branches of O(N-1)-invariant solutions for a semilinear elliptic equation
Francesca Gladiali
We consider a semilinear elliptic problem in an annulus of R^N, with N>1. Recent results ensure that there exists a sequence p_k of exponents of the nonlinear term at which a nonra…