| 带有Bessel位势的积分方程正解的对称性和正则性(英文) |
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| 引用本文： | 陈武.带有Bessel位势的积分方程正解的对称性和正则性(英文)[J].徐州师范大学学报(自然科学版),2014(2):35-42. |
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| 作者姓名： | 陈武 |
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| 作者单位： | 江苏师范大学数学与统计学院,江苏徐州221116 |
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| 基金项目： | Research supported by the Postgraduate Innovation Project of Jiangsu Province（CXLX12-0981）and the Postgraduate Innovation Project of Jiangsu Normal University（2012YYB097） |
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| 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.
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| 关 键 词： | 正则性提升 Bessel位势 径向对称性 L∞估计 Lipschitz连续 |
Symmetry and regularity of positive solutions to some system associated with Bessel potentials |
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| Chen Wu.Symmetry and regularity of positive solutions to some system associated with Bessel potentials[J].Journal of Xuzhou Normal University(Natural Science Edition),2014(2):35-42. |
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| Authors: | Chen Wu |
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| Institution: | Chen Wu (School of Mathematics ＆ Statistics, Jiangsu Normal University, Xuzhou 221116, Jiangsu, China) |
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| Abstract: | 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 . |
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| Keywords: | regularity lifting Bessel potential radial symmetry L∞ estimate Lipschitz continuous |
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