Maximum principle and existence of Lp-viscosity solutions for fully nonlinear uniformly elliptic equations with measurable and quadratic terms
Maximum principle and existence of Lp-viscosity solutions for fully nonlinear uniformly elliptic equations with measurable and quadratic terms
复制标题
DOI：
10.1007/s00030-004-2001-9
复制
发表时间：
2004-12
期刊：
影响因子：
--
通讯作者：
Shigeaki Koike;Andrzej Świch
中科院分区：
文献类型：
--
作者：
Shigeaki Koike;Andrzej Świch
研究了具有可测项和二次非线性项的完全非线性二阶一致椭圆型偏微分方程解的Lp粘性。给出了Lp粘性解的最大值原理成立的一个充分条件。我们还证明了所考虑的方程的稳定性和存在性结果。
We studyLp-viscosity solutions of fully nonlinear, second-order, uniformly elliptic partial differential equations (PDE) with measurable terms and quadratic nonlinearity. We present a sufficient condition under which the maximum principle holds forLp-viscosity solution. We also prove stability and existence results for the equations under consideration.