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Grenon, N. and Trombetti, C. (2003) Existence results for a class of nonlinear elliptic problems with p-growth in the gradient. Nonlinear Analysis: Theory, Methods & Applications, 52, 931-942.
http://dx.doi.org/10.1016/S0362-546X(02)00143-8

被以下文章引用:

• 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.