Special Session 16: 

On the Gibbons` conjecture for equations involving the $p$-Laplacian

Francesco Esposito
University of Calabria
Italy
Co-Author(s):    Alberto Farina, Luigi Montoro and Berardino Sciunzi
Abstract:
In this talk I will discuss about the validity of Gibbons` conjecture for the quasilinear elliptic equation $-\Delta_p u = f(u)$ in $\mathbb{R}^N$. The result holds true for $(2N+2)/(N+2) < p < 2$ and for a very general class of nonlinearity $f$.