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数学与物理
理论数学
Vol. 5 No. 4 (July 2015)
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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
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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
参考文献
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