一类二维p-Laplace方程的整体解

Entire Solutions of a Class of p-Laplacian Equations in R^2

研究了一个二维空间中带有极限型边值条件的p-Laplace方程,在一定条件下,利用变分方法,得到了二维整体解的存在性,该解沿y方向为周期的,且满足limx→±∞u(x,y)=±σ.

Abstract： In this paper, we conditions, we get the existence of solution u（x, y） is periodic on y axis study some p- Laplacian equations with limit boundary. Given some entire solution with asymptotic behavior by the variational method. The and satisfies lira limu（x→±∞）（x,y）=±σ. .