关于梯度具有一般增长的非线性椭圆问题有界解的存在性

Existence of Bounded Solutions to a Class of Nonlinear Elliptic Problems with General Growth in the Gradient

本文研究了一类关于梯度具有q(p-1<q≤p)增长的非线性椭圆方程。通过对一类Volterra型积分算子不动点的讨论,我们应用对称技术证明了有界解的存在性。

This paper studies a class of nonlinear elliptic equations with q(p-1<q≤p)growth in the gra-dient. By discussing the fixed point for a class of Volterra integral operator, we use symmetric technique to prove the existence of bounded solutions.