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.
田玉娟,马 超, (2015) 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. 理论数学,04,143-149. doi: 10.12677/PM.2015.54022
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