Conformal metrics in R^{2m} with constant Q-curvature and arbitrary volume

来源 :2015长江三角洲微偏分方程学术研讨会 | 被引量 : 0次 | 上传用户：qf0909

【摘要】

：

　　We study the polyharmonic problem Delta^m u=pm e^u in R^{2m},with m geq 2.In particular,we prove that for any V>0,there exists radial solutions of Delta

【作者】

：

黄侠

【机构】

：

华东师范大学

【出处】

：

2015长江三角洲微偏分方程学术研讨会

【发表日期】

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2015年12期

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　　We study the polyharmonic problem \Delta^m u=\pm e^u in R^{2m},with m \geq 2.In particular,we prove that for any V>0,there exists radial solutions of \Delta^m u=-e^u such that \int_{R^{2m}}e^u dx=V.

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Conformal metrics in R^{2m} with constant Q-curvature and arbitrary volume

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