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
DOI: 10.12677/PM.2015.54022, PDF, HTML, XML, 下载: 2,318  浏览: 5,163  科研立项经费支持
作者: 田玉娟*：山东师范大学数学科学学院，山东 济南；马 超：济南大学数学科学学院，山东 济南
关键词: 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
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。
Abstract: 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.
文章引用：田玉娟, 马超. 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[J]. 理论数学, 2015, 5(4): 143-149. http://dx.doi.org/10.12677/PM.2015.54022

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