In this paper,we apply the three circle type method and a Hardy type inequality to a nonlinear Dirac type equation on surfaces,and provide alternative proofs to the energy quantization results.
In this paper, we study the blow-up analysis of extrinsic biharmonic maps from a general Riemannian4-manifold into a compact Riemannian manifold. We prove that the energy identity and the no neck property hold with th...In this paper, we study the blow-up analysis of extrinsic biharmonic maps from a general Riemannian4-manifold into a compact Riemannian manifold. We prove that the energy identity and the no neck property hold with the aid of a Pohozaev identity over general Riemannian manifolds.展开更多
In this paper,we study the expansions of Ricci flat metrics in harmonic coordinates about the infinity of ALE(Asymptotically Local Euclidean)manifolds.
基金supported in part by the Innovation Program of Shanghai Municipal Education Commission(2021-01-07-00-02-E00087)the National Natural Science Foundation of China(12171314)+2 种基金the Shanghai Frontier Science Center of Modern Analysispartially supported by STU Scientific Research Initiation Grant(NTF23034T)supported in part by the National Natural Science Foundation of China(12101255)。
文摘In this paper,we apply the three circle type method and a Hardy type inequality to a nonlinear Dirac type equation on surfaces,and provide alternative proofs to the energy quantization results.
基金supported by Innovation Program of Shanghai Municipal Education Commission(Grant No.2021-01-07-00-02-E00087)National Natural Science Foundation of China(Grant No.12171314)。
文摘In this paper, we study the blow-up analysis of extrinsic biharmonic maps from a general Riemannian4-manifold into a compact Riemannian manifold. We prove that the energy identity and the no neck property hold with the aid of a Pohozaev identity over general Riemannian manifolds.
文摘In this paper,we study the expansions of Ricci flat metrics in harmonic coordinates about the infinity of ALE(Asymptotically Local Euclidean)manifolds.