Nonexistence of positive solutions of an integral system with weights

作者：Zhang Zhengce^*

来源：Advances in Difference Equations, 2011, 61.

DOI：10.1186/1687-1847-2011-61

• integral system
• moving plane method
• nonexistence
• radial symmetry and monotonicity

In this article, we study nonexistence, radial symmetry, and monotonicity of the positive solutions for a class of integral systems with weights. We use a new type of moving plane method introduced by Chen-Li-Ou. Our new ingredient is the use of Hardy-Littlewood-Sobolev inequality instead of Maximum Principle. Our results are new even for the Laplace case.
2010 MSC: 35J99; 45E10; 45G05.

• 出版日期2011
• 单位西安交通大学