一个具梯度项的<i>p</i>-Laplace方程弱解的存在性

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一个具梯度项的p-Laplace方程弱解的存在性

基金项目:

国家自然科学基金（青年科学基金） 11401252

School of Mathematics and Statistics, Guizhou University of Finance and Economics, Guiyang 550025, China

摘要: 研究一个具梯度项的拟线性椭圆方程，其中源项f仅仅位于L¹中.借助于方程零阶项系数与右端源项的关系，得到了弱解的先验L^∞估计和弱解的存在性.
- p-Laplace方程 /
- L¹数据 /
- 梯度项
Abstract: This paper is devoted to the study of a quasi-linear elliptic equation with gradient term, where the source term f lies in the space L¹. Using the relationship between the coefficient of the zero order term and the source term, the a priori L^∞ estimate and the existence of weak solutions are obtained.
- p-Laplace equations /
- L¹ datum /
- gradient term

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