论文标题
关于涉及$ p $ -laplacian的方程式的长臂猿的猜想
On the Gibbons' conjecture for equations involving the $p$-Laplacian
论文作者
论文摘要
在本文中，我们证明了Gibbons对准椭圆方程的猜想的有效性$-Δ_Pu = f（u）$ in $ \ mathbb {r}^n。
In this paper we prove the validity of Gibbons' conjecture for the quasilinear elliptic equation $ -Δ_p u = f(u) $ on $\mathbb{R}^N.$ The result holds true for $(2N+2)/(N+2) < p < 2$ and for a very general class of nonlinearity $f$.
