A Classification of Positive Solutions of Some Integral Systems

作者：Ma Feiyao; Huang Xiaotao^*; Wang Lihe

来源：Integral Equations and Operator Theory, 2011, 69(3): 393-404.

DOI：10.1007/s00020-010-1845-0

• Riesz potentials and Bessel potentials
• symmetry and monotonicity
• integral equation systems
• moving planes

In this paper, we investigate the symmetry of some nonlinear integral systems with Riesz potentials. With the method of moving planes, we study the symmetry of positive solutions in two cases, on R(n) and on bounded domains. These results can be extended to integral equations with Bessel potentials.

• 出版日期2011-3
• 单位西安交通大学