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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 ...

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