论文标题
具有单数下阶术语的非顽固的准椭圆运算符
Noncoercive quasilinear elliptic operators with singular lower order terms
论文作者
论文摘要
我们考虑了一个准线性二阶椭圆差差算子的家族，该二级椭圆差算子不是强制性的，并且由Marcinkiewicz空间中的功能定义。我们证明了对相应的Dirichlet问题的解决方案的存在。还解决了相关的障碍问题。最后，当基准更常规时，我们显示了解决方案问题的更高集成性。
We consider a family of quasilinear second order elliptic differential operators which are not coercive and are defined by functions in Marcinkiewicz spaces. We prove the existence of a solution to the corresponding Dirichlet problem. The associated obstacle problem is also solved. Finally, we show higher integrability of a solution to the Dirichlet problem when the datum is more regular.
