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 作者：Paweł Biernat , Roland Donninger , Birgit Schörkhuber 来源：[J].Calculus of Variations and Partial Differential Equations(IF 1.236), 2017, Vol.56 (6) 摘要：We consider the heat flow of corotational harmonic maps from \(\mathbb {R}^3\) to the three-sphere and prove the nonlinear asymptotic stability of a particular self-similar shrinker that is not known in closed form. Our method provides a novel, systematic, robust, and constructiv...
 作者：Haizhong Li , Yong Wei 来源：[J].Calculus of Variations and Partial Differential Equations(IF 1.236), 2017, Vol.56 (3) 摘要：In this paper, we first study the behavior of inverse mean curvature flow in Schwarzschild manifold. We show that if the initial hypersurface \(\Sigma \) is strictly mean convex and star-shaped, then the flow hypersurface \(\Sigma _t\) converges to a large coordinate sphere ...
 作者：Diego Maldonado , Pablo Raúl Stinga 来源：[J].Calculus of Variations and Partial Differential Equations(IF 1.236), 2017, Vol.56 (4) 摘要：The fractional nonlocal linearized Monge–Ampère equation is introduced. A Harnack inequality for nonnegative solutions to the Poisson problem on Monge–Ampère sections is proved.
 作者：Andrei A. Agrachev , Francesco Boarotto , Antonio Lerario 来源：[J].Calculus of Variations and Partial Differential Equations(IF 1.236), 2017, Vol.56 (4) 摘要：Given a smooth manifold M and a totally nonholonomic distribution \(\Delta \subset TM \) of rank \(d\ge 3\) , we study the effect of singular curves on the topology of the space of horizontal paths joining two points on M . Singular curves are critical points of the endpoint...
 作者：Tristan Rivière 来源：[J].Calculus of Variations and Partial Differential Equations(IF 1.236), 2017, Vol.56 (4) 摘要：We establish that any weakly conformal \(W^{1,2}\) map from a Riemann surface S into a closed oriented sub-manifold \(N^n\) of an euclidian space \({\mathbb {R}}^m\) realizes, for almost every sub-domain, a stationary varifold if and only if it is a smooth conformal harmonic map ...
 作者：Renjin Jiang , Aapo Kauranen 来源：[J].Calculus of Variations and Partial Differential Equations(IF 1.236), 2017, Vol.56 (4) 摘要：\(\Omega \) is a John domain;