摘要
此文研究一类在Radon测度给定下二阶退化拟线性椭圆型方程.通过引入逼近子问题列并求解、先验估计和收敛性研究,证明了该方程广义解在带权Sobolev空间的存在性.
This paper deals with a quasilinear degenerate elliptic equation with Radon-measures as date. By introducing a sequence of approximating problems and their solution, studying priori estimate and convergence, we prove the existence of weak solution in a weighted sobolev space.
基金
江西省自然科学基金
关键词
RADON测度
退化椭圆型方程
广义解
椭圆型方程
Radon measure, degenerate elliptic equation, weak solution, priori estimate, convergence.