李刚副教授
研究方向：微分几何和偏微分方程。目前接触的研究课题在共形几何方向。目前研究暂时涉猎椭圆型偏微分方程。对椭圆型偏微分方程，抛物型偏微分方程，双曲型偏微分方程，含退化问题和混合型偏微分方程均有兴趣。尤其对非线性方程中的非线性结构有兴趣。自然造化，惊叹欣喜，以诚探知。欢迎交流！ More+
- [1] 李刚. A flow approach to the generalized Loewner-Nirenberg problem of the σk -Ricci equation. Calculus of Variations and Partial Differential Equations, 61, 2022.
- [2] 李刚. Two Flow Approaches to the Loewner–Nirenberg Problem on Manifolds. JOURNAL OF GEOMETRIC ANALYSIS, 32, 2022.
- [3] . A COMPACTNESS THEOREM ON BRANSON'S Q-CURVATURE EQUATION. 302, 119, 2019.
- [4] 李刚. A flow approach to the generalized Loewner-Nirenberg problem of the sigma(k)-Ricci equation. CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS Journal, 61, 2022.
- [5] 李刚. On uniqueness and existence of conformally compact Einstein metrics with homogeneous conformal in.... Calculus of Variations and Partial Differential Equations, 61, 2022.
- [6] 李刚. Two Flow Approaches to the Loewner-Nirenberg Problem on Manifolds. JOURNAL OF GEOMETRIC ANALYSIS, 32, 2022.
- [7] 李刚. On uniqueness of conformally compact Einstein metrics with homogeneous conformal infinity. Advances in Mathematics, 340, 983, 2018.
- [8] Yuguang Shi , Jie Qing and 李刚. GAP PHENOMENA AND CURVATURE ESTIMATES FOR CONFORMALLY COMPACT EINSTEIN MANIFOLDS. Transactions of the American Mathematical Society, 369, 4385, 2017.
- [9] A compactness theorem on Branson's Q-curvature equation. Pacific J. Math. 302 (2019), no. 1, 119–179.,
- [10] 李刚. Constant Q-curvature metrics near the hyperbolic metric. Annales de l'Institut Henri Poincaré. Analyse Non Linéaire, 31, 591, 2014.
- [11] 李刚 and Xavier, Frederico. Non-positive curvature and global invertibility of maps. Journal of Geometric Analysis, 24, 1181, 2014.
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