标题:
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
作者:
田玉娟, 马超
关键字:
非线性椭圆方程, 梯度项, 有界解, 对称技术Nonlinear Elliptic Equation, Gradient Term, Bounded Solution, Symmetric Technique
期刊名称:
《Pure Mathematics》, Vol.5 No.4, 2015-07-16
摘要:
本文研究了一类关于梯度具有 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 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.