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Titlebook: Contemporary Research in Elliptic PDEs and Related Topics; Serena Dipierro Book 2019 Springer Nature Switzerland AG 2019 Partial different

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发表于 2025-3-23 13:30:40 | 显示全部楼层
Introduction to Variational Methods for Viscous Ergodic Mean-Field Games with Local Coupling,We collect in these notes some results on the existence and uniqueness of classical solutions to viscous ergodic Mean-Field Game systems with local coupling. We present in particular some methods and ideas based on convex optimization techniques and elliptic regularity.
发表于 2025-3-23 14:57:20 | 显示全部楼层
Fractional De Giorgi Classes and Applications to Nonlocal Regularity Theory,We present some recent results obtained by the author on the regularity of solutions to nonlocal variational problems. In particular, we review the notion of fractional De Giorgi class, explain its role in nonlocal regularity theory, and propose some open questions in the subject.
发表于 2025-3-23 19:13:58 | 显示全部楼层
Lectures on Curvature Flow of Networks,We present a collection of results on the evolution by curvature of networks of planar curves. We discuss in particular the existence of a solution and the analysis of singularities.
发表于 2025-3-23 22:39:08 | 显示全部楼层
发表于 2025-3-24 03:51:22 | 显示全部楼层
https://doi.org/10.1007/978-0-230-61793-3, and having first order terms with power growth, we prove the existence and uniqueness of suitably defined viscosity solutions of Dirichlet problems and we further show that it is a Lipschitz continuous function.
发表于 2025-3-24 08:41:54 | 显示全部楼层
New Directions in Latino American Cultures study non-singular vacuum static space-times with non-zero cosmological constant. We introduce new integral quantities, and under suitable assumptions we prove their monotonicity along the level set flow of the static potential. We then show how to use these properties to derive a number of sharp g
发表于 2025-3-24 12:53:35 | 显示全部楼层
David Mullins,Moyra Riseboroughebra generated by a family of vector fields. We then prove the Krener theorem on local accessibility and the Chow-Rashevskii theorem on controllability of symmetric systems. We then introduce the theory of compatible vector fields and we apply it to study control-affine systems with a recurrent drif
发表于 2025-3-24 14:57:48 | 显示全部楼层
Dina Neiger,Leonid Churilov,Andrew Flitmanhe Allen-Cahn equation and the classification of entire minimal surfaces is well known and motivates a celebrated conjecture by E. De Giorgi on the one-dimensional symmetry of bounded monotone solutions to the (classical) Allen-Cahn equation up to dimension 8. In this work, we present some recent re
发表于 2025-3-24 21:20:46 | 显示全部楼层
Violence: Reflections About a Wordorm. We start reviewing the elliptic case with some of its variants and geometrical consequences. The linear parabolic Harnack inequality of Moser is discussed extensively, together with its link to two-sided kernel estimates and to the Li-Yau differential Harnack inequality. Then we overview the mo
发表于 2025-3-25 02:54:58 | 显示全部楼层
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