摘要
考虑带有贝塞尔位势的积分方程的正解的对称性和正则性,通过动平面方法证明正解是径向对称的.应用正则性提升引理,将正解先提升至L∞,再提升至Lipschitz连续.
The symmetry and regularity of positive solutions to an integral system involving Bessel potentials are con-cerned in this paper .By using the method of moving planes ,it is proved that the positive solutions are radial sym-metric .By using two regularity lifting lemmas ,the regularity for integrable solutions are studied .It is firstly lifted to L∞ and then to Lipschitz continuous .
出处
《江苏师范大学学报（自然科学版）》
CAS
2014年第2期35-42,共8页
Journal of Jiangsu Normal University：Natural Science Edition
基金
supported by the Postgraduate Innovation Project of Jiangsu Province(CXLX12-0981)
the Postgraduate Innovation Project of Jiangsu Normal University(2012YYB097)
